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","datePublished":"2025-01-23T06:19:05.937Z","publisher":{"@type":"Organization","name":"LinkedIn"},"bestRating":5,"worstRating":1}],"video":{"@type":"VideoObject","name":"Introduction - Machine Learning Foundations: Linear Algebra","author":{"@type":"Person","name":"Terezija Semenski","description":"Helping People Master AI Fundamentals 53% Faster | LinkedIn [in]structor 14 Courses | Founder @ Stack labs d.o.o. ♦ Corporate Trainer | Author @ Math Mindset newsletter","jobTitle":"Helping People Master AI Fundamentals 53% Faster | LinkedIn [in]structor 14 Courses | Founder @ Stack labs d.o.o. ♦ Corporate Trainer | Author @ Math Mindset newsletter","url":"https://hr.linkedin.com/in/terezijasemenski"},"thumbnailUrl":"https://media.licdn.com/dms/image/v2/C560DAQFTT_xVgBuw-w/learning-public-crop_675_1200/learning-public-crop_675_1200/0/1661472217519?e=2147483647&v=beta&t=m-S2YAVTbj6RlIqnhtQSwAeuVN8eTLJUyzr8JNL5Gtk","description":"Explore the fundamentals of linear algebra, the mathematical foundation of machine learning algorithms.","duration":"PT1M5S","datePublished":"2022-08-30","uploadDate":"2022-08-30","requiresSubscription":false,"isAccessibleForFree":true,"contentUrl":"https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/introduction"},"educationalLevel":"Intermediate","educationalCredentialAwarded":[{"@type":"EducationalOccupationalCredential","name":"LinkedIn Learning Certificate of Completion","url":"https://www.linkedin.com/help/learning/answer/a598944/learning-certificates-of-completion-faqs","credentialCategory":"Certificate","offers":[{"@type":"Offer","category":"Subscription"}]}]} </script> <!----> </head> <body dir="ltr"> <!----><!----><!----> <!----> <a href="#main-content" class="skip-link btn-md btn-primary absolute z-11 -top-[100vh] focus:top-0"> Skip to main content </a> <header class="header base-detail-page__header px-mobile-container-padding bg-color-background-container global-alert-offset sticky-header"> <nav class="nav pt-1.5 pb-2 flex items-center justify-between relative flex-nowrap babymamabear:py-1.5 nav--minified-mobile " aria-label="Primary"> <a href="https://www.linkedin.com/learning/?trk=learning-course_nav-header-logo" class="nav__logo-link link-no-visited-state z-1 mr-auto min-h-[52px] flex items-center babybear:z-0 hover:no-underline focus:no-underline active:no-underline babymamabear:mr-3" data-tracking-control-name="learning-course_nav-header-logo" data-tracking-will-navigate> <div class="learning-logo"> <icon class="learning-logo__inbug onload" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4zqr0f9jf98vi2nkijyc3bex2"></icon> <span class="learning-logo__text" aria-hidden="true">Learning</span> <span class="sr-only">LinkedIn Learning</span> </div> </a> <section class="search-bar relative flex flex-grow h-[40px] bg-cool-gray-20 min-w-0 max-w-full mx-4 rounded-sm babymamabear:mx-0 babymamabear:mb-1.5 babymamabear:bg-color-transparent babymamabear:w-full babymamabear:flex babymamabear:flex-wrap search-bar--minified-mobile" data-current-search-type="LEARNING"> <button class="search-bar__placeholder papabear:hidden text-input w-full mt-1.5 !pl-[14px] border-1 border-solid border-color-border-faint rounded-[2px] h-[40px] max-h-[40px] flex items-center overflow-hidden cursor-text" data-tracking-control-name="learning-course_search-switcher-opener"> <icon class="text-color-icon w-3 h-3 mr-1" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/397vrsk6op88l4981ji1xe1qt"></icon> <div class="search-bar__full-placeholder font-sans text-md text-color-text max-w-[calc(100%-40px)] text-left whitespace-nowrap overflow-hidden text-ellipsis"> <!----><!----> Search skills, subjects, or software <!----> </div> <span class="sr-only">Expand search</span> </button> <div class="switcher-tabs__trigger-and-tabs babymamabear:flex"> <button aria-expanded="false" class="switcher-tabs__placeholder flex !h-full !py-0 !pl-2 !pr-1.5 border-r-1 border-solid border-r-color-border-faint babymamabear:hidden tab-md papabear:tab-vertical papabear:justify-start cursor-pointer" data-tracking-control-name="learning-course_switcher-tabs-placeholder" aria-describedby="switcher-description"> <span class="switcher-tabs__placeholder-text m-auto"></span> <icon class="switcher-tabs__caret-down-filled onload pointer-events-none block my-auto min-h-[24px] min-w-[24px] h-[24px] babymamabear:hidden" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/7asbl4deqijhoy3z2ivveispv"></icon> </button> <div id="switcher-description" class="hidden">This button displays the currently selected search type. 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data-delayed-url="https://media.licdn.com/dms/image/v2/C560DAQFTT_xVgBuw-w/learning-public-crop_675_1200/learning-public-crop_675_1200/0/1661472217519?e=2147483647&v=beta&t=m-S2YAVTbj6RlIqnhtQSwAeuVN8eTLJUyzr8JNL5Gtk"> <a class="top-card__overlay-button" data-tracking-control-name="course_preview" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/introduction?autoplay=true&trk=course_preview"> <span class="top-card__preview-cta "> <icon class="top-card__preview-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5jwhkytplzxiejvhzfu0t7m8l"> </icon> <span class="top-card__preview-cta-text">Preview</span> </span> <!----> </a> </section> <div class="top-card-layout__card relative p-2 papabear:p-details-container-padding"> <div class="top-card-layout__entity-info-container flex flex-wrap papabear:flex-nowrap"> <div class="top-card-layout__entity-info flex-grow flex-shrink-0 basis-0 babybear:flex-none babybear:w-full babybear:flex-none babybear:w-full"> <h1 class="top-card-layout__title font-sans text-lg papabear:text-xl font-bold leading-open text-color-text mb-0"> Machine Learning Foundations: Linear Algebra </h1> <h2 class="top-card-layout__headline break-words font-sans text-md leading-open text-color-text"> <div class="top-card__headline-row"> <span class="top-card__headline-row-item top-card__headline-row-item--large">With Terezija Semenski</span> <span class="top-card__headline-row-item">Liked by 919 users</span> </div> <div class="top-card__headline-row"> <span class="top-card__headline-row-item">Duration: 1h 20m</span> <span class="top-card__headline-row-item">Skill level: Intermediate</span> <span class="top-card__headline-row-item">Released: 8/30/2022</span> </div> </h2> <!----> <!----> <div class="top-card-layout__cta-container flex flex-wrap mt-0.5 papabear:mt-0 ml-[-12px]"> <a href="http://www.linkedin.com/learning/subscription/products?courseSlug=machine-learning-foundations-linear-algebra&destRedirectURL=https%3A%2F%2Fwww%2Elinkedin%2Ecom%2Flearning%2Fmachine-learning-foundations-linear-algebra&trk=course_info&upsellTrk=lil_upsell_course_info_subscription" data-tracking-control-name="lil_upsell_course_info_subscription" data-tracking-impression-name="lil_upsell_course_info_subscription" data-litms-tracking-control-name="lil_upsell_course_info_subscription" data-tracking-will-navigate class="top-card__upsell-link top-card-layout__cta mt-2 ml-1.5 h-auto babybear:flex-auto top-card-layout__cta--primary btn-md btn-primary" data-test-live-course-sub-upsell> Start my 1-month free trial </a> <a class="buy-for-your-team-cta__link top-card-layout__cta mt-2 ml-1.5 h-auto babybear:flex-auto top-card-layout__cta--secondary btn-md btn-secondary" href="/learning/subscription/teams?veh=lil_upx&src=li-lil-upsell&trk=learning-course_buy-for-your-team-cta" data-tracking-control-name="learning-course_buy-for-your-team-cta" data-tracking-impression-name="lil_upsell_learning-course_buy-for-your-team-cta_teambuy" data-test-live-buy-for-your-team-upsell data-tracking-will-navigate> Buy for my team </a> </div> </div> <!----> </div> <!----> <!----> </div> </section> <div class="details mx-details-container-padding"> <section class="core-section-container my-3 course-details"> <!----> <h2 class="core-section-container__title section-title"> Course details </h2> <!----> <div class="core-section-container__content break-words"> <section class="show-more-less-html course-details__description" data-max-lines="4"> <div class="show-more-less-html__markup show-more-less-html__markup--clamp-after-4 relative overflow-hidden"> Ever wondered what’s really going on underneath a machine learning algorithm? The answer is linear algebra. Without it, machine learning can’t exist. Linear algebra is a prerequisite for understanding and creating nearly all machine learning algorithms, especially those that prop up neural networks, natural language processing tools, and deep learning models.<br><br>Join instructor Terezija Semenski for an in-depth exploration of the core concepts of linear algebra alongside the techniques needed to design and implement a successful machine learning algorithm. Discover the basics of vector arithmetic, vector norms, matrix properties, advanced operations, matrix transformation, and algorithms like Google PageRank. By the end of this course, you’ll be ready to take the principles of linear algebra and apply them to your next big machine learning project. </div> <button class="show-more-less-html__button show-more-less-button show-more-less-html__button--more ml-0.5" data-tracking-control-name="learning-course_show-more-html-btn" aria-label="i18n_show_more" aria-expanded="false"> <!----> Show more <icon class="show-more-less-html__button-icon show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less-html__button show-more-less-button show-more-less-html__button--less ml-0.5" data-tracking-control-name="learning-course_show-less-html-btn" aria-label="i18n_show_less" aria-expanded="true"> <!----> Show less <icon class="show-more-less-html__button-icon show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <!----> </section> </div> </section> <section class="core-section-container my-3 course-skills"> <!----> <h2 class="core-section-container__title section-title"> Skills you’ll gain </h2> <!----> <div class="core-section-container__content break-words"> <ul class="course-skills__skill-list"> <li class="course-skills__skill-list-item"> <a href="https://www.linkedin.com/learning/search?keywords=Linear+Algebra&trk=learning-course_pill-list" data-tracking-control-name="learning-course_pill-list" data-tracking-will-navigate class="pill flex w-fit mr-[6px] mb-1 hover:no-underline skill-pill"> Linear Algebra </a> </li> <li class="course-skills__skill-list-item"> <a href="https://www.linkedin.com/learning/topics/machine-learning?trk=learning-course_pill-list" data-tracking-control-name="learning-course_pill-list" data-tracking-will-navigate class="pill flex w-fit mr-[6px] mb-1 hover:no-underline skill-pill"> Machine Learning </a> </li> </ul> </div> </section> <section class="core-section-container my-3"> <!----> <h2 class="core-section-container__title section-title"> Earn a sharable certificate </h2> <!----> <div class="core-section-container__content break-words"> <p class="course-certificate__body-paragraph">Share what you’ve learned, and be a standout professional in your desired industry with a certificate showcasing your knowledge gained from the course.</p> <div class="course-certificate__image-container"> <img class="course-certificate__certificate-image" alt="Sample certificate" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/52nu8qc7cfcn7vrftr7ttceqt"> <div> <h3 class="course-certificate__detail-list-heading"> <div class="learning-logo"> <icon class="learning-logo__inbug onload" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4zqr0f9jf98vi2nkijyc3bex2"></icon> <span class="learning-logo__text learning-logo__text--show-on-mobile" aria-hidden="true">Learning</span> <span class="sr-only">LinkedIn Learning</span> </div> <span>Certificate of Completion</span> </h3> <ul> <li class="course-certificate__detail-list-item"> <div class="course-certificate__detail-list-item-icon-wrapper"><icon data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5lqa4dj5v9gp6yjh6s6iwtdbb"></icon></div> <p class="course-certificate__detail-list-item-text">Showcase on your LinkedIn profile under “Licenses and Certificate” section</p> </li> <li class="course-certificate__detail-list-item"> <div class="course-certificate__detail-list-item-icon-wrapper"><icon data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5lqa4dj5v9gp6yjh6s6iwtdbb"></icon></div> <p class="course-certificate__detail-list-item-text">Download or print out as PDF to share with others</p> </li> <li class="course-certificate__detail-list-item"> <div class="course-certificate__detail-list-item-icon-wrapper"><icon data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5lqa4dj5v9gp6yjh6s6iwtdbb"></icon></div> <p class="course-certificate__detail-list-item-text">Share as image online to demonstrate your skill</p> </li> </ul> </div> </div> </div> </section> <section class="core-section-container my-3 course-instructors"> <!----> <h2 class="core-section-container__title section-title"> Meet the instructor </h2> <!----> <div class="core-section-container__content break-words"> <ul class="course-instructors__list"> <li class="course-instructors__list-item"> <a href="https://hr.linkedin.com/in/terezijasemenski?trk=learning-course_instructor" target="_self" data-tracking-control-name="learning-course_instructor" data-tracking-will-navigate class="base-card relative w-full hover:no-underline focus:no-underline base-card--link base-main-card flex flex-wrap py-2 pr-2 babybear:pr-0 base-main-card--link "> <!----> <img class="inline-block relative rounded-[50%] w-6 h-6 bg-color-entity-ghost-background" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt="Click here to view Terezija Semenski’s instructor page"> <div class="base-main-card__info self-center ml-1 flex-1 relative break-words papabear:min-w-0 mamabear:min-w-0 babybear:w-full "> <!----> <h3 class="base-main-card__title font-sans text-[18px] font-bold text-color-text overflow-hidden "> Terezija Semenski </h3> <h4 class="base-main-card__subtitle body-text text-color-text overflow-hidden "> Helping People Master AI Fundamentals 53% Faster | LinkedIn [in]structor 14 Courses | Founder @ Stack labs d.o.o. ♦ Corporate Trainer | Author @ Math Mindset newsletter </h4> <!----> <!----><!----> </div> <!----> </a> </li> </ul> </div> </section> <section class="core-section-container my-3 reviews-feed"> <!----> <h2 class="core-section-container__title section-title"> Learner reviews </h2> <!----> <div class="core-section-container__content break-words"> <div class="reviews-feed__ratings-summary"> <section class="ratings-summary"> <div class="ratings-summary__overall-rating"> <h3 class="ratings-summary__header"><span class="ratings-summary__rating-average">4.3</span> <span class="ratings-summary__rating-max">out of 5</span></h3> <figure class="ratings-summary__figure"> <span class="star-rating" role="img" aria-label="Rating: 4.3 out of 5 stars"> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/7dacecy4xq1otzk8pae2g0hxd"></icon> </span> </span> <figcaption class="ratings-summary__ratings-total">1,328 ratings</figcaption> </figure> </div> <div class="ratings-summary__breakdown"> <div class="ratings-summary__disclaimer"> <div class="tooltip"> <button class="tooltip__trigger ratings-summary__disclaimer-trigger" data-tracking-control-name="toggle_disclaimer" type="button"> <icon class="ratings-summary__disclaimer-icon" data-svg-class-name="ratings-summary__disclaimer-icon-svg" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/g8uts9v3k83n9e3iyvcxit0k"> </icon> <span 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Ratings and reviews can only be submitted when non-anonymous learners complete at least 40% of the course. This helps us avoid fake reviews and spam. </span> </div> </div> <ul> <li> <figure class="ratings-summary__rating-count"> <figcaption class="ratings-summary__rating-count-label"> 5 star </figcaption> <progress class="ratings-summary__progress-bar" max="1328" value="825" aria-valuemin="0" aria-valuenow="825" aria-valuemax="1328"> Current value: 825 </progress> <span class="ratings-summary__rating-count-percent"> 62% </span> </figure> </li> <li> <figure class="ratings-summary__rating-count"> <figcaption class="ratings-summary__rating-count-label"> 4 star </figcaption> <progress class="ratings-summary__progress-bar" max="1328" value="251" aria-valuemin="0" aria-valuenow="251" aria-valuemax="1328"> Current value: 251 </progress> <span class="ratings-summary__rating-count-percent"> 19% </span> </figure> </li> <li> <figure class="ratings-summary__rating-count"> <figcaption class="ratings-summary__rating-count-label"> 3 star </figcaption> <progress class="ratings-summary__progress-bar" max="1328" value="122" aria-valuemin="0" aria-valuenow="122" aria-valuemax="1328"> Current value: 122 </progress> <span class="ratings-summary__rating-count-percent"> 9% </span> </figure> </li> <li> <figure class="ratings-summary__rating-count"> <figcaption class="ratings-summary__rating-count-label"> 2 star </figcaption> <progress class="ratings-summary__progress-bar" max="1328" value="77" aria-valuemin="0" aria-valuenow="77" aria-valuemax="1328"> Current value: 77 </progress> <span class="ratings-summary__rating-count-percent"> 6% </span> </figure> </li> <li> <figure class="ratings-summary__rating-count"> <figcaption class="ratings-summary__rating-count-label"> 1 star </figcaption> <progress class="ratings-summary__progress-bar" max="1328" value="53" aria-valuemin="0" aria-valuenow="53" aria-valuemax="1328"> Current value: 53 </progress> <span class="ratings-summary__rating-count-percent"> 4% </span> </figure> </li> </ul> </div> </section> </div> <ul class="reviews-feed__reviews-list"> <li class="reviews-feed__reviews-list-item"> <div class="review-card"> <div class="base-card relative w-full hover:no-underline focus:no-underline base-card--link base-main-card flex flex-wrap py-2 pr-2 babybear:pr-0 base-main-card--link review-card__entity"> <a class="base-card__full-link absolute top-0 right-0 bottom-0 left-0 p-0 z-[2]" href="https://www.linkedin.com/in/carol-vomacka" data-tracking-control-name="learning-course" data-tracking-will-navigate> <span class="sr-only"> Carol V. <!----> </span> </a> <img class="inline-block relative rounded-[50%] w-6 h-6 " data-delayed-url="https://media.licdn.com/dms/image/v2/C5603AQHUTjegvtzYqA/profile-displayphoto-shrink_100_100/profile-displayphoto-shrink_100_100/0/1607903620023?e=2147483647&v=beta&t=abM2WGrvkn3Pg5e8JQBmwjbVuXKrdU6dAKMJuIqFU_8" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt="Carol V."> <div class="base-main-card__info self-center ml-1 flex-1 relative break-words papabear:min-w-0 mamabear:min-w-0 babybear:w-full "> <!----> <h3 class="base-main-card__title font-sans text-[18px] font-bold text-color-text overflow-hidden "> Carol V. <!----> </h3> <h4 class="base-main-card__subtitle body-text text-color-text overflow-hidden "> Senior Product Manager | Healthcare Innovation and Strategist | Thought Leader | Team Leader and Mentor </h4> <!----> <div class="body-text text-color-text-low-emphasis base-main-card__metadata"> <div class="review-card__content"> <div class="review-card__centered-row"> <div class="review-card__star-container"> <span class="star-rating" role="img" aria-label="Rating: 1 out of 5 stars"> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/e0hq4l058yoqerjsrssp5pbr0"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/e0hq4l058yoqerjsrssp5pbr0"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/e0hq4l058yoqerjsrssp5pbr0"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/e0hq4l058yoqerjsrssp5pbr0"></icon> </span> </span> </div> <span class="review-card__rating"> 1/5 </span> <span class="review-card__date"> January 28, 2025 </span> </div> <div class="review-card__text"> The instructor is knowledgeable about the subject, but her accent and speech patterns makes it difficult to focus on the course content. I could only get through it by increasing the speed of the video, it helped reduce her accent. The pacing is too fast for beginners, and there is a noticeable lack of examples. There is no explanation of how the concepts relate to machine learning; it feels like a series of formulas presented one after another. I am not sure why this information is relevant to how machines learn or why I am learning this information. I am highly disappointed in what is clearly an important topic in the field. It's clearly a course for advanced math learners, not for beginners wanting to learn about Ai. </div> <div class="review-card__centered-row review-card__actions"> <a class="review-card__centered-row review-card__action-button" aria-label="Carol V.’s comment is helpful" data-tracking-control-name="learning-course_review-card-helpful-button" data-tracking-will-navigate href="https://www.linkedin.com/learning-login/?redirect=https%3A%2F%2Fwww%2Elinkedin%2Ecom%2Flearning%2Fmachine-learning-foundations-linear-algebra%3Ftrk%3Dlearning-topics_learning-search-card_search-card%26trk%3Dlearning-topics_learning-search-card_search-card&trk=learning-course_review-card-helpful-button" rel="nofollow"> <icon class="review-card__centered-row review-card__action-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5ptx189gjbxrh9wf3ncsehms9" data-svg-class-name="review-card__like-icon"></icon> Helpful </a> <span class="review-card__dot-delimiter">·</span> <a class="review-card__centered-row review-card__action-button" aria-label="Report Carol V.’s comment" data-tracking-control-name="learning-course_review-card-report-button" data-tracking-will-navigate href="https://www.linkedin.com/learning-login/?redirect=https%3A%2F%2Fwww%2Elinkedin%2Ecom%2Flearning%2Fmachine-learning-foundations-linear-algebra%3Ftrk%3Dlearning-topics_learning-search-card_search-card%26trk%3Dlearning-topics_learning-search-card_search-card&trk=learning-course_review-card-report-button" rel="nofollow"> <icon class="review-card__centered-row review-card__action-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/d04ze1wt0ev8ck8e4ovqk762o" data-svg-class-name="review-card__flag-icon"></icon> Report </a> </div> </div> </div> <!----> </div> <!----> </div> </div> </li> <li class="reviews-feed__reviews-list-item"> <div class="review-card"> <div class="base-card relative w-full hover:no-underline focus:no-underline base-card--link base-main-card flex flex-wrap py-2 pr-2 babybear:pr-0 base-main-card--link review-card__entity"> <a class="base-card__full-link absolute top-0 right-0 bottom-0 left-0 p-0 z-[2]" href="https://in.linkedin.com/in/kunal-rathod-a8002567" data-tracking-control-name="learning-course" data-tracking-will-navigate> <span class="sr-only"> Kunal Rathod <!----> </span> </a> <img class="inline-block relative rounded-[50%] w-6 h-6 " data-delayed-url="https://media.licdn.com/dms/image/v2/D5603AQFXCC55aGr8ag/profile-displayphoto-shrink_100_100/profile-displayphoto-shrink_100_100/0/1699941819190?e=2147483647&v=beta&t=gabF1qIjKLIuYDU3sjt4r_hKoap4hcucBMhDQCN2rvM" data-ghost-classes="bg-color-entity-ghost-background" data-ghost-url="https://static.licdn.com/aero-v1/sc/h/9c8pery4andzj6ohjkjp54ma2" alt="Kunal Rathod"> <div class="base-main-card__info self-center ml-1 flex-1 relative break-words papabear:min-w-0 mamabear:min-w-0 babybear:w-full "> <!----> <h3 class="base-main-card__title font-sans text-[18px] font-bold text-color-text overflow-hidden "> Kunal Rathod <!----> </h3> <h4 class="base-main-card__subtitle body-text text-color-text overflow-hidden "> Strategic Sourcing (Electrical & Electronics) for Super Premium and Cooperation projects. </h4> <!----> <div class="body-text text-color-text-low-emphasis base-main-card__metadata"> <div class="review-card__content"> <div class="review-card__centered-row"> <div class="review-card__star-container"> <span class="star-rating" role="img" aria-label="Rating: 5 out of 5 stars"> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> <span class="star-rating__icon-container" aria-hidden="true"> <icon class="star-rating__icon star-rating__icon--small " data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cg0ud3t24av7pe8eamnp39hfq"></icon> </span> </span> </div> <span class="review-card__rating"> 5/5 </span> <span class="review-card__date"> January 23, 2025 </span> </div> <div class="review-card__text"> Course was really good and usefull for brushup the basic level of linear algebra, vectors, matrix, and machine learning concept. </div> <div class="review-card__centered-row review-card__actions"> <a class="review-card__centered-row review-card__action-button" aria-label="Kunal Rathod’s comment is helpful" data-tracking-control-name="learning-course_review-card-helpful-button" data-tracking-will-navigate href="https://www.linkedin.com/learning-login/?redirect=https%3A%2F%2Fwww%2Elinkedin%2Ecom%2Flearning%2Fmachine-learning-foundations-linear-algebra%3Ftrk%3Dlearning-topics_learning-search-card_search-card%26trk%3Dlearning-topics_learning-search-card_search-card&trk=learning-course_review-card-helpful-button" rel="nofollow"> <icon class="review-card__centered-row review-card__action-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5ptx189gjbxrh9wf3ncsehms9" data-svg-class-name="review-card__like-icon"></icon> Helpful </a> <span class="review-card__dot-delimiter">·</span> <a class="review-card__centered-row review-card__action-button" aria-label="Report Kunal Rathod’s comment" data-tracking-control-name="learning-course_review-card-report-button" data-tracking-will-navigate href="https://www.linkedin.com/learning-login/?redirect=https%3A%2F%2Fwww%2Elinkedin%2Ecom%2Flearning%2Fmachine-learning-foundations-linear-algebra%3Ftrk%3Dlearning-topics_learning-search-card_search-card%26trk%3Dlearning-topics_learning-search-card_search-card&trk=learning-course_review-card-report-button" rel="nofollow"> <icon class="review-card__centered-row review-card__action-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/d04ze1wt0ev8ck8e4ovqk762o" data-svg-class-name="review-card__flag-icon"></icon> Report </a> </div> </div> </div> <!----> </div> <!----> </div> </div> </li> </ul> </div> </section> </div> </section> <section class="right-rail papabear:w-right-rail-width papabear:ml-column-gutter mamabear:max-w-[790px] mamabear:px-mobile-container-padding babybear:max-w-[790px] babybear:px-mobile-container-padding"> <section class="table-of-contents mb-4 table-of-contents--with-max-height"> <h2 class="table-of-contents__header"> Contents </h2> <ul class="table-of-contents__list"> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> Introduction <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> Introduction <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/introduction?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <icon class="table-of-contents__item-status table-of-contents__item-status--unlocked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5jwhkytplzxiejvhzfu0t7m8l" data-svg-class-name="table-of-contents__item-status-svg--unlocked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Introduction </div> <div class="table-of-contents__item-duration"> 1m 5s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/what-you-should-know?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <icon class="table-of-contents__item-status table-of-contents__item-status--unlocked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5jwhkytplzxiejvhzfu0t7m8l" data-svg-class-name="table-of-contents__item-status-svg--unlocked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> What you should know </div> <div class="table-of-contents__item-duration"> 1m 4s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 1. Introduction to Linear Algebra <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 1. Introduction to Linear Algebra <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/defining-linear-algebra?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <icon class="table-of-contents__item-status table-of-contents__item-status--unlocked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5jwhkytplzxiejvhzfu0t7m8l" data-svg-class-name="table-of-contents__item-status-svg--unlocked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Defining linear algebra </div> <div class="table-of-contents__item-duration"> 2m 22s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/applications-of-linear-algebra-in-ml?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Applications of linear algebra in ML </div> <div class="table-of-contents__item-duration"> 5m 4s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 2. Vectors Basics <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 2. Vectors Basics <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/introduction-to-vectors?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <icon class="table-of-contents__item-status table-of-contents__item-status--unlocked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/5jwhkytplzxiejvhzfu0t7m8l" data-svg-class-name="table-of-contents__item-status-svg--unlocked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Introduction to vectors </div> <div class="table-of-contents__item-duration"> 4m 47s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/vector-arithmetic?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Vector arithmetic </div> <div class="table-of-contents__item-duration"> 3m 58s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/coordinate-system?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Coordinate system </div> <div class="table-of-contents__item-duration"> 3m 6s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 3. Vector Projections and Basis <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 3. Vector Projections and Basis <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/dot-product-of-vectors?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Dot product of vectors </div> <div class="table-of-contents__item-duration"> 3m 10s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/scalar-and-vector-projection?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Scalar and vector projection </div> <div class="table-of-contents__item-duration"> 3m 20s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/changing-basis-of-vectors?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Changing basis of vectors </div> <div class="table-of-contents__item-duration"> 4m 16s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/basis-linear-independence-and-span?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Basis, linear independence, and span </div> <div class="table-of-contents__item-duration"> 2m 54s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 4. Introduction to Matrices <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 4. Introduction to Matrices <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/matrices-introduction?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Matrices introduction </div> <div class="table-of-contents__item-duration"> 2m 44s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/types-of-matrices?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Types of matrices </div> <div class="table-of-contents__item-duration"> 2m 46s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/types-of-matrix-transformation?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Types of matrix transformation </div> <div class="table-of-contents__item-duration"> 2m 51s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/composition-or-combination-of-matrix-transformations?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Composition or combination of matrix transformations </div> <div class="table-of-contents__item-duration"> 2m 55s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 5. Gaussian Elimination <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 5. Gaussian Elimination <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/solving-linear-equations-using-gaussian-elimination?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Solving linear equations using Gaussian elimination </div> <div class="table-of-contents__item-duration"> 4m </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/gaussian-elimination-and-finding-the-inverse-matrix?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Gaussian elimination and finding the inverse matrix </div> <div class="table-of-contents__item-duration"> 3m 6s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/inverse-and-determinant?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Inverse and determinant </div> <div class="table-of-contents__item-duration"> 2m 58s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 6. Matrices from Orthogonality to Gram–Schmidt Process <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 6. Matrices from Orthogonality to Gram–Schmidt Process <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/matrices-changing-basis?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Matrices changing basis </div> <div class="table-of-contents__item-duration"> 2m 9s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/transforming-to-the-new-basis?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Transforming to the new basis </div> <div class="table-of-contents__item-duration"> 2m 48s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/orthogonal-matrix?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Orthogonal matrix </div> <div class="table-of-contents__item-duration"> 2m 10s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/gram-schmidt-process?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Gram–Schmidt process </div> <div class="table-of-contents__item-duration"> 2m 52s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 7. Eigenvalues and Eigenvectors <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> 7. Eigenvalues and Eigenvectors <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/introduction-to-eigenvalues-and-eigenvectors?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Introduction to eigenvalues and eigenvectors </div> <div class="table-of-contents__item-duration"> 2m 36s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/calculating-eigenvalues-and-eigenvectors?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Calculating eigenvalues and eigenvectors </div> <div class="table-of-contents__item-duration"> 3m 9s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/changing-to-the-eigenbasis?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Changing to the eigenbasis </div> <div class="table-of-contents__item-duration"> 3m 58s </div> </div> </a> </li> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/google-pagerank-algorithm?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Google PageRank algorithm </div> <div class="table-of-contents__item-duration"> 3m 57s </div> </div> </a> </li> </ul> <!----> </div> </li> <li class="toc-section"> <div class="show-more-less"> <button class="show-more-less__button show-more-less__more-button show-more-less-button " aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> Conclusion <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cyolgscd0imw2ldqppkrb84vo"></icon> </button> <button class="show-more-less__button show-more-less__less-button show-more-less-button show-more-less__button--hide" aria-expanded="false" data-tracking-control-name="learning-course_toc-section_show_more"> Conclusion <icon class="show-more-less__button--chevron show-more-less-button-icon" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/4chtt12k98xwnba1nimld2oyg"></icon> </button> <ul data-max-num-to-show="0" class="show-more-less__list show-more-less__list--hide-after-0" data-impression-id="learning-course_toc-section_show-more-less"> <li class="toc-item"> <a data-tracking-control-name="learning-course_tocItem" data-tracking-will-navigate href="https://www.linkedin.com/learning/machine-learning-foundations-linear-algebra/next-steps?autoplay=true&trk=learning-course_tocItem" class="toc-item__link" aria-current="false"> <span class="a11y-text">(Locked)</span> <icon class="table-of-contents__item-status table-of-contents__item-status--locked" data-delayed-url="https://static.licdn.com/aero-v1/sc/h/cfu0devb5o77ym5x8vv0oilfz" data-svg-class-name="table-of-contents__item-status-svg--locked"></icon> <div class="table-of-contents__item-details"> <div class="table-of-contents__item-title"> Next steps </div> <div class="table-of-contents__item-duration"> 39s </div> </div> </a> </li> </ul> <!----> </div> </li> </ul> </section> <section class="aside-section-container mb-4 subscription-value-props-aside-section"> <h2 class="aside-section-container__title section-title"> What’s included </h2> <!----> <div class="aside-section-container__content break-words"> <ul> <li class="subscription-value-props-aside-section__list-item"> <span class="subscription-value-props-aside-section__value-prop-label">Practice while you learn</span> <span class="subscription-value-props-aside-section__value-prop-sublabel">1 exercise 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papabear:w-auto"> <div class="collapsible-dropdown collapsible-dropdown--footer collapsible-dropdown--up flex items-center relative hyphens-auto language-selector z-2"> <!----> <ul class="collapsible-dropdown__list hidden container-raised absolute w-auto overflow-y-auto flex-col items-stretch z-1 bottom-[100%] top-auto" role="menu" tabindex="-1"> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="العربية (Arabic)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ar_AE" data-locale="ar_AE" role="menuitem" lang="ar_AE"> العربية (Arabic) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="বাংলা (Bangla)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-bn_IN" data-locale="bn_IN" role="menuitem" lang="bn_IN"> বাংলা (Bangla) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Čeština (Czech)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-cs_CZ" data-locale="cs_CZ" role="menuitem" lang="cs_CZ"> Čeština (Czech) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Dansk (Danish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-da_DK" data-locale="da_DK" role="menuitem" lang="da_DK"> Dansk (Danish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Deutsch (German)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-de_DE" data-locale="de_DE" role="menuitem" lang="de_DE"> Deutsch (German) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Ελληνικά (Greek)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-el_GR" data-locale="el_GR" role="menuitem" lang="el_GR"> Ελληνικά (Greek) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="English (English) selected" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link--selected" data-tracking-control-name="language-selector-en_US" data-locale="en_US" role="menuitem" lang="en_US"> <strong>English (English)</strong> </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Español (Spanish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-es_ES" data-locale="es_ES" role="menuitem" lang="es_ES"> Español (Spanish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="فارسی (Persian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-fa_IR" data-locale="fa_IR" role="menuitem" lang="fa_IR"> فارسی (Persian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Suomi (Finnish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-fi_FI" data-locale="fi_FI" role="menuitem" lang="fi_FI"> Suomi (Finnish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Français (French)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-fr_FR" data-locale="fr_FR" role="menuitem" lang="fr_FR"> Français (French) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="हिंदी (Hindi)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-hi_IN" data-locale="hi_IN" role="menuitem" lang="hi_IN"> हिंदी (Hindi) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Magyar (Hungarian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-hu_HU" data-locale="hu_HU" role="menuitem" lang="hu_HU"> Magyar (Hungarian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Bahasa Indonesia (Indonesian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-in_ID" data-locale="in_ID" role="menuitem" lang="in_ID"> Bahasa Indonesia (Indonesian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Italiano (Italian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-it_IT" data-locale="it_IT" role="menuitem" lang="it_IT"> Italiano (Italian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="עברית (Hebrew)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-iw_IL" data-locale="iw_IL" role="menuitem" lang="iw_IL"> עברית (Hebrew) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="日本語 (Japanese)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ja_JP" data-locale="ja_JP" role="menuitem" lang="ja_JP"> 日本語 (Japanese) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="한국어 (Korean)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ko_KR" data-locale="ko_KR" role="menuitem" lang="ko_KR"> 한국어 (Korean) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="मराठी (Marathi)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-mr_IN" data-locale="mr_IN" role="menuitem" lang="mr_IN"> मराठी (Marathi) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Bahasa Malaysia (Malay)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ms_MY" data-locale="ms_MY" role="menuitem" lang="ms_MY"> Bahasa Malaysia (Malay) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Nederlands (Dutch)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-nl_NL" data-locale="nl_NL" role="menuitem" lang="nl_NL"> Nederlands (Dutch) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Norsk (Norwegian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-no_NO" data-locale="no_NO" role="menuitem" lang="no_NO"> Norsk (Norwegian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="ਪੰਜਾਬੀ (Punjabi)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-pa_IN" data-locale="pa_IN" role="menuitem" lang="pa_IN"> ਪੰਜਾਬੀ (Punjabi) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Polski (Polish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-pl_PL" data-locale="pl_PL" role="menuitem" lang="pl_PL"> Polski (Polish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Português (Portuguese)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-pt_BR" data-locale="pt_BR" role="menuitem" lang="pt_BR"> Português (Portuguese) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Română (Romanian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ro_RO" data-locale="ro_RO" role="menuitem" lang="ro_RO"> Română (Romanian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Русский (Russian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-ru_RU" data-locale="ru_RU" role="menuitem" lang="ru_RU"> Русский (Russian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Svenska (Swedish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-sv_SE" data-locale="sv_SE" role="menuitem" lang="sv_SE"> Svenska (Swedish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="తెలుగు (Telugu)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-te_IN" data-locale="te_IN" role="menuitem" lang="te_IN"> తెలుగు (Telugu) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="ภาษาไทย (Thai)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-th_TH" data-locale="th_TH" role="menuitem" lang="th_TH"> ภาษาไทย (Thai) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Tagalog (Tagalog)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-tl_PH" data-locale="tl_PH" role="menuitem" lang="tl_PH"> Tagalog (Tagalog) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Türkçe (Turkish)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-tr_TR" data-locale="tr_TR" role="menuitem" lang="tr_TR"> Türkçe (Turkish) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Українська (Ukrainian)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-uk_UA" data-locale="uk_UA" role="menuitem" lang="uk_UA"> Українська (Ukrainian) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="Tiếng Việt (Vietnamese)" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-vi_VN" data-locale="vi_VN" role="menuitem" lang="vi_VN"> Tiếng Việt (Vietnamese) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="简体中文 (Chinese (Simplified))" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-zh_CN" data-locale="zh_CN" role="menuitem" lang="zh_CN"> 简体中文 (Chinese (Simplified)) </button> </li> <li class="language-selector__item" role="presentation"> <!-- Adding aria-label to both the li and the button because screen reader focus goes to button on desktop and li on mobile--> <button aria-label="正體中文 (Chinese (Traditional))" class="font-sans text-xs link block py-[5px] px-2 w-full hover:cursor-pointer hover:bg-color-action hover:text-color-text-on-dark focus:bg-color-action focus:text-color-text-on-dark language-selector__link !font-regular" data-tracking-control-name="language-selector-zh_TW" data-locale="zh_TW" role="menuitem" lang="zh_TW"> 正體中文 (Chinese (Traditional)) </button> </li> <!----> </ul> <button class="language-selector__button select-none relative pr-2 font-sans text-xs font-bold text-color-text-low-emphasis hover:text-color-link-hover hover:cursor-pointer focus:text-color-link-focus focus:outline-dotted focus:outline-1" aria-expanded="false" data-tracking-control-name="footer-lang-dropdown_trigger"> <span class="language-selector__label-text mr-0.5 break-words"> Language </span> <icon class="language-selector__label-chevron w-2 h-2 absolute top-0 right-0" 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