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Available in 69 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-69" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">69 gjuhë</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AD%D8%AF%D8%AF_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="محدد (رياضيات) – arabisht" lang="ar" hreflang="ar" data-title="محدد (رياضيات)" data-language-autonym="العربية" data-language-local-name="arabisht" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Determinant" title="Determinant – azerbajxhanisht" lang="az" hreflang="az" data-title="Determinant" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajxhanisht" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%92%D1%8B%D0%B7%D0%BD%D0%B0%D1%87%D0%BD%D1%96%D0%BA_(%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0)" title="Вызначнік (алгебра) – bjellorusisht" lang="be" hreflang="be" data-title="Вызначнік (алгебра)" data-language-autonym="Беларуская" data-language-local-name="bjellorusisht" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%94%D0%B5%D1%82%D0%B5%D1%80%D0%BC%D0%B8%D0%BD%D0%B0%D0%BD%D1%82%D0%B0" title="Детерминанта – bullgarisht" lang="bg" hreflang="bg" data-title="Детерминанта" data-language-autonym="Български" data-language-local-name="bullgarisht" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A8%E0%A6%BF%E0%A6%B0%E0%A7%8D%E0%A6%A3%E0%A6%BE%E0%A6%AF%E0%A6%BC%E0%A6%95" title="নির্ণায়ক – bengalisht" lang="bn" hreflang="bn" data-title="নির্ণায়ক" data-language-autonym="বাংলা" data-language-local-name="bengalisht" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Determinanta" title="Determinanta – boshnjakisht" lang="bs" hreflang="bs" data-title="Determinanta" data-language-autonym="Bosanski" data-language-local-name="boshnjakisht" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca badge-Q17437796 badge-featuredarticle mw-list-item" title="artikuj të përkryer"><a href="https://ca.wikipedia.org/wiki/Determinant_(matem%C3%A0tiques)" title="Determinant (matemàtiques) – katalonisht" lang="ca" hreflang="ca" data-title="Determinant (matemàtiques)" data-language-autonym="Català" data-language-local-name="katalonisht" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AF%DB%8C%D8%AA%DB%8E%D8%B1%D9%85%DB%8C%D9%86%D9%86%D8%AA" title="دیتێرمیننت – kurdishte qendrore" lang="ckb" hreflang="ckb" data-title="دیتێرمیننت" data-language-autonym="کوردی" data-language-local-name="kurdishte qendrore" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Determinant" title="Determinant – çekisht" lang="cs" hreflang="cs" data-title="Determinant" data-language-autonym="Čeština" data-language-local-name="çekisht" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%D0%B0%D0%BB%C4%83%D1%80%D1%82%D0%B0%D0%B2%C3%A7%C4%83" title="Палăртавçă – çuvashisht" lang="cv" hreflang="cv" data-title="Палăртавçă" data-language-autonym="Чӑвашла" data-language-local-name="çuvashisht" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Determinant" title="Determinant – danisht" lang="da" hreflang="da" data-title="Determinant" data-language-autonym="Dansk" data-language-local-name="danisht" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Determinante" title="Determinante – gjermanisht" lang="de" hreflang="de" data-title="Determinante" data-language-autonym="Deutsch" data-language-local-name="gjermanisht" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9F%CF%81%CE%AF%CE%B6%CE%BF%CF%85%CF%83%CE%B1" title="Ορίζουσα – greqisht" lang="el" hreflang="el" data-title="Ορίζουσα" data-language-autonym="Ελληνικά" data-language-local-name="greqisht" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Determinant" title="Determinant – anglisht" lang="en" hreflang="en" data-title="Determinant" data-language-autonym="English" data-language-local-name="anglisht" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Determinanto" title="Determinanto – esperanto" lang="eo" hreflang="eo" data-title="Determinanto" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Determinante_(matem%C3%A1tica)" title="Determinante (matemática) – spanjisht" lang="es" hreflang="es" data-title="Determinante (matemática)" data-language-autonym="Español" data-language-local-name="spanjisht" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Determinant" title="Determinant – estonisht" lang="et" hreflang="et" data-title="Determinant" data-language-autonym="Eesti" data-language-local-name="estonisht" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Determinante" title="Determinante – baskisht" lang="eu" hreflang="eu" data-title="Determinante" data-language-autonym="Euskara" data-language-local-name="baskisht" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%AA%D8%B1%D9%85%DB%8C%D9%86%D8%A7%D9%86" title="دترمینان – persisht" lang="fa" hreflang="fa" data-title="دترمینان" data-language-autonym="فارسی" data-language-local-name="persisht" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Determinantti" title="Determinantti – finlandisht" lang="fi" hreflang="fi" data-title="Determinantti" data-language-autonym="Suomi" data-language-local-name="finlandisht" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/D%C3%A9terminant_(math%C3%A9matiques)" title="Déterminant (mathématiques) – frëngjisht" lang="fr" hreflang="fr" data-title="Déterminant (mathématiques)" data-language-autonym="Français" data-language-local-name="frëngjisht" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Determinant" title="Determinant – frisianishte veriore" lang="frr" hreflang="frr" data-title="Determinant" data-language-autonym="Nordfriisk" data-language-local-name="frisianishte veriore" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Deit%C3%A9armanant" title="Deitéarmanant – irlandisht" lang="ga" hreflang="ga" data-title="Deitéarmanant" data-language-autonym="Gaeilge" data-language-local-name="irlandisht" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Determinante_(matem%C3%A1ticas)" title="Determinante (matemáticas) – galicisht" lang="gl" hreflang="gl" data-title="Determinante (matemáticas)" data-language-autonym="Galego" data-language-local-name="galicisht" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%93%D7%98%D7%A8%D7%9E%D7%99%D7%A0%D7%A0%D7%98%D7%94" title="דטרמיננטה – hebraisht" lang="he" hreflang="he" data-title="דטרמיננטה" data-language-autonym="עברית" data-language-local-name="hebraisht" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%B0%E0%A4%A3%E0%A4%BF%E0%A4%95" title="सारणिक – indisht" lang="hi" hreflang="hi" data-title="सारणिक" data-language-autonym="हिन्दी" data-language-local-name="indisht" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Determinanta" title="Determinanta – kroatisht" lang="hr" hreflang="hr" data-title="Determinanta" data-language-autonym="Hrvatski" data-language-local-name="kroatisht" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Determin%C3%A1ns_(matematika)" title="Determináns (matematika) – hungarisht" lang="hu" hreflang="hu" data-title="Determináns (matematika)" data-language-autonym="Magyar" data-language-local-name="hungarisht" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%88%D6%80%D5%B8%D5%B7%D5%AB%D5%B9_(%D5%B4%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1)" title="Որոշիչ (մաթեմատիկա) – armenisht" lang="hy" hreflang="hy" data-title="Որոշիչ (մաթեմատիկա)" data-language-autonym="Հայերեն" data-language-local-name="armenisht" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Determinan" title="Determinan – indonezisht" lang="id" hreflang="id" data-title="Determinan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezisht" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/%C3%81kve%C3%B0a" title="Ákveða – islandisht" lang="is" hreflang="is" data-title="Ákveða" data-language-autonym="Íslenska" data-language-local-name="islandisht" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Determinante_(algebra)" title="Determinante (algebra) – italisht" lang="it" hreflang="it" data-title="Determinante (algebra)" data-language-autonym="Italiano" data-language-local-name="italisht" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%A1%8C%E5%88%97%E5%BC%8F" title="行列式 – japonisht" lang="ja" hreflang="ja" data-title="行列式" data-language-autonym="日本語" data-language-local-name="japonisht" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%93%E1%83%94%E1%83%A2%E1%83%94%E1%83%A0%E1%83%9B%E1%83%98%E1%83%9C%E1%83%90%E1%83%9C%E1%83%A2%E1%83%98" title="დეტერმინანტი – gjeorgjisht" lang="ka" hreflang="ka" data-title="დეტერმინანტი" data-language-autonym="ქართული" data-language-local-name="gjeorgjisht" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D0%BD%D1%8B%D2%9B%D1%82%D0%B0%D1%83%D1%8B%D1%88_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Анықтауыш (математика) – kazakisht" lang="kk" hreflang="kk" data-title="Анықтауыш (математика)" data-language-autonym="Қазақша" data-language-local-name="kazakisht" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A8%E0%B2%BF%E0%B2%B0%E0%B3%8D%E0%B2%A7%E0%B2%BE%E0%B2%B0%E0%B2%95" title="ನಿರ್ಧಾರಕ – kanadisht" lang="kn" hreflang="kn" data-title="ನಿರ್ಧಾರಕ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanadisht" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%96%89%EB%A0%AC%EC%8B%9D" title="행렬식 – koreanisht" lang="ko" hreflang="ko" data-title="행렬식" data-language-autonym="한국어" data-language-local-name="koreanisht" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%BD%D1%8B%D0%BA%D1%82%D0%B0%D0%B3%D1%8B%D1%87" title="Аныктагыч – kirgizisht" lang="ky" hreflang="ky" data-title="Аныктагыч" data-language-autonym="Кыргызча" data-language-local-name="kirgizisht" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Determinans" title="Determinans – latinisht" lang="la" hreflang="la" data-title="Determinans" data-language-autonym="Latina" data-language-local-name="latinisht" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Determinant" title="Determinant – lombardisht" lang="lmo" hreflang="lmo" data-title="Determinant" data-language-autonym="Lombard" data-language-local-name="lombardisht" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Determinantas" title="Determinantas – lituanisht" lang="lt" hreflang="lt" data-title="Determinantas" data-language-autonym="Lietuvių" data-language-local-name="lituanisht" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Determinants" title="Determinants – letonisht" lang="lv" hreflang="lv" data-title="Determinants" data-language-autonym="Latviešu" data-language-local-name="letonisht" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%94%D0%B5%D1%82%D0%B5%D1%80%D0%BC%D0%B8%D0%BD%D0%B0%D0%BD%D1%82%D0%B0" title="Детерминанта – maqedonisht" lang="mk" hreflang="mk" data-title="Детерминанта" data-language-autonym="Македонски" data-language-local-name="maqedonisht" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B4%BE%E0%B4%B0%E0%B4%A3%E0%B4%BF%E0%B4%95%E0%B4%82" title="സാരണികം – malajalamisht" lang="ml" hreflang="ml" data-title="സാരണികം" data-language-autonym="മലയാളം" data-language-local-name="malajalamisht" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Determinant" title="Determinant – holandisht" lang="nl" hreflang="nl" data-title="Determinant" data-language-autonym="Nederlands" data-language-local-name="holandisht" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Determinant" title="Determinant – norvegjishte nynorsk" lang="nn" hreflang="nn" data-title="Determinant" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegjishte nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Determinant" title="Determinant – norvegjishte letrare" lang="nb" hreflang="nb" data-title="Determinant" data-language-autonym="Norsk bokmål" data-language-local-name="norvegjishte letrare" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wyznacznik" title="Wyznacznik – polonisht" lang="pl" hreflang="pl" data-title="Wyznacznik" data-language-autonym="Polski" data-language-local-name="polonisht" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%DA%88%DB%8C%D9%B9%D8%B1%D9%85%DB%8C%D9%86%D9%86%D9%B9" title="ڈیٹرمیننٹ – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ڈیٹرمیننٹ" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Determinante" title="Determinante – portugalisht" lang="pt" hreflang="pt" data-title="Determinante" data-language-autonym="Português" data-language-local-name="portugalisht" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Determinant_(matematic%C4%83)" title="Determinant (matematică) – rumanisht" lang="ro" hreflang="ro" data-title="Determinant (matematică)" data-language-autonym="Română" data-language-local-name="rumanisht" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B8%D1%82%D0%B5%D0%BB%D1%8C" title="Определитель – rusisht" lang="ru" hreflang="ru" data-title="Определитель" data-language-autonym="Русский" data-language-local-name="rusisht" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Determinanta" title="Determinanta – serbo-kroatisht" lang="sh" hreflang="sh" data-title="Determinanta" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-kroatisht" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Determinant" title="Determinant – Simple English" lang="en-simple" hreflang="en-simple" data-title="Determinant" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Determinant_(matematika)" title="Determinant (matematika) – sllovakisht" lang="sk" hreflang="sk" data-title="Determinant (matematika)" data-language-autonym="Slovenčina" data-language-local-name="sllovakisht" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Determinanta" title="Determinanta – sllovenisht" lang="sl" hreflang="sl" data-title="Determinanta" data-language-autonym="Slovenščina" data-language-local-name="sllovenisht" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%94%D0%B5%D1%82%D0%B5%D1%80%D0%BC%D0%B8%D0%BD%D0%B0%D0%BD%D1%82%D0%B0" title="Детерминанта – serbisht" lang="sr" hreflang="sr" data-title="Детерминанта" data-language-autonym="Српски / srpski" data-language-local-name="serbisht" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Determinant" title="Determinant – suedisht" lang="sv" hreflang="sv" data-title="Determinant" data-language-autonym="Svenska" data-language-local-name="suedisht" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%A3%E0%AE%BF%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%B5%E0%AF%88" title="அணிக்கோவை – tamilisht" lang="ta" hreflang="ta" data-title="அணிக்கோவை" data-language-autonym="தமிழ்" data-language-local-name="tamilisht" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%94%E0%B8%B5%E0%B9%80%E0%B8%97%E0%B8%AD%E0%B8%A3%E0%B9%8C%E0%B8%A1%E0%B8%B4%E0%B9%81%E0%B8%99%E0%B8%99%E0%B8%95%E0%B9%8C" title="ดีเทอร์มิแนนต์ – tajlandisht" lang="th" hreflang="th" data-title="ดีเทอร์มิแนนต์" data-language-autonym="ไทย" data-language-local-name="tajlandisht" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Determinant" title="Determinant – turqisht" lang="tr" hreflang="tr" data-title="Determinant" data-language-autonym="Türkçe" data-language-local-name="turqisht" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D0%B8%D0%B7%D0%BD%D0%B0%D1%87%D0%BD%D0%B8%D0%BA" title="Визначник – ukrainisht" lang="uk" hreflang="uk" data-title="Визначник" data-language-autonym="Українська" data-language-local-name="ukrainisht" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AF%D8%AA%D8%B1%D9%85%DB%8C%D9%86%D8%A7%D9%86" title="دترمینان – urduisht" lang="ur" hreflang="ur" data-title="دترمینان" data-language-autonym="اردو" data-language-local-name="urduisht" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Aniqlovchi_(matematika)" title="Aniqlovchi (matematika) – uzbekisht" lang="uz" hreflang="uz" data-title="Aniqlovchi (matematika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekisht" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%8Bnh_th%E1%BB%A9c" title="Định thức – vietnamisht" lang="vi" hreflang="vi" data-title="Định thức" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamisht" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%A1%8C%E5%88%97%E5%BC%8F" title="行列式 – kinezishte vu" lang="wuu" hreflang="wuu" data-title="行列式" data-language-autonym="吴语" data-language-local-name="kinezishte vu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh badge-Q17437796 badge-featuredarticle mw-list-item" title="artikuj të përkryer"><a href="https://zh.wikipedia.org/wiki/%E8%A1%8C%E5%88%97%E5%BC%8F" title="行列式 – kinezisht" lang="zh" hreflang="zh" data-title="行列式" data-language-autonym="中文" data-language-local-name="kinezisht" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/H%C3%A2ng-lia%CC%8Dt-sek" title="Hâng-lia̍t-sek – Minnan" lang="nan" hreflang="nan" data-title="Hâng-lia̍t-sek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%A1%8C%E5%88%97%E5%BC%8F" title="行列式 – kantonezisht" lang="yue" hreflang="yue" data-title="行列式" data-language-autonym="粵語" data-language-local-name="kantonezisht" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q178546#sitelinks-wikipedia" title="Përpunoni lidhje ndërgjuhësore" class="wbc-editpage">Përpunoni lidhje</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Emërhapësira"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Determinanti" title="Shikoni përmbajtjen e atikullit. 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Ai karakterizon disa veti të matricës dhe hartës lineare që ajo paraqet. Në veçanti, përcaktori është zero atëherë dhe vetëm atëherë kur <a href="/wiki/Matrica" title="Matrica">matrica</a> ka të anasjelltë dhe harta lineare e përfaqësuar nga matrica është izomorfizëm. Përcaktori i prodhimit të matricave është produkti i përcaktorëve të tyre. Përcaktori i një matrice A shënohet si <span class="texhtml">det(<i>A</i>)</span>, <span class="texhtml">det <i>A</i></span>, ose <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle |A|}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |A|}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/648fce92f29d925f04d39244ccfe435320dfc6de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.037ex; height:2.843ex;" alt="{\displaystyle |A|}"></span>. </p><p>Përcaktori i një matrice <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\ x\ 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mtext> </mtext> <mi>x</mi> <mtext> </mtext> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\ x\ 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45904f2a81e2cb41f6f37742ad0aa9f7cf4b74f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.816ex; height:2.176ex;" alt="{\displaystyle 2\ x\ 2}"></span> është </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{vmatrix}a&b\\c&d\end{vmatrix}}=ad-bc}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mi>a</mi> </mtd> <mtd> <mi>b</mi> </mtd> </mtr> <mtr> <mtd> <mi>c</mi> </mtd> <mtd> <mi>d</mi> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> <mo>=</mo> <mi>a</mi> <mi>d</mi> <mo>−</mo> <mi>b</mi> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{vmatrix}a&b\\c&d\end{vmatrix}}=ad-bc}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f341e2a592db51542cfcfb6def112377a86986ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:17.202ex; height:6.176ex;" alt="{\displaystyle {\begin{vmatrix}a&b\\c&d\end{vmatrix}}=ad-bc}"></span> </p><p>dhe përcaktori i një matrice <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3\ x\ 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mtext> </mtext> <mi>x</mi> <mtext> </mtext> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3\ x\ 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee5ccec4f7f860a1508af2844aa05b5ec0977e6f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.816ex; height:2.176ex;" alt="{\displaystyle 3\ x\ 3}"></span> është </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}}=aei+bfg+cdh-ceg-bdi-afh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>|</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mi>a</mi> </mtd> <mtd> <mi>b</mi> </mtd> <mtd> <mi>c</mi> </mtd> </mtr> <mtr> <mtd> <mi>d</mi> </mtd> <mtd> <mi>e</mi> </mtd> <mtd> <mi>f</mi> </mtd> </mtr> <mtr> <mtd> <mi>g</mi> </mtd> <mtd> <mi>h</mi> </mtd> <mtd> <mi>i</mi> </mtd> </mtr> </mtable> <mo>|</mo> </mrow> </mrow> <mo>=</mo> <mi>a</mi> <mi>e</mi> <mi>i</mi> <mo>+</mo> <mi>b</mi> <mi>f</mi> <mi>g</mi> <mo>+</mo> <mi>c</mi> <mi>d</mi> <mi>h</mi> <mo>−</mo> <mi>c</mi> <mi>e</mi> <mi>g</mi> <mo>−</mo> <mi>b</mi> <mi>d</mi> <mi>i</mi> <mo>−</mo> <mi>a</mi> <mi>f</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}}=aei+bfg+cdh-ceg-bdi-afh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/446adf293a369a276257deb27132fe26d63a7f3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:47.977ex; height:9.509ex;" alt="{\displaystyle {\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}}=aei+bfg+cdh-ceg-bdi-afh}"></span> </p><p>Determinantët hasen shpesh në <a href="/wiki/Matematika" title="Matematika">matematikë</a>. Për shembull një matricë përdoret shpesh për të paraqitur koeficientët e një s<a href="/w/index.php?title=Sistemet_e_ekuacioneve_lineare&action=edit&redlink=1" class="new" title="Sistemet e ekuacioneve lineare (nuk është shkruar akoma)">istemi ekuacionesh lineare</a> dhe determinantët mund të përdoren për ti zgjidhur këto ekuacione, megjithëse metoda të tjera janë më eficente. Përcaktorët përdoren gjithashtu për të përcaktuar polinomin karakteristik të matricës, rrënjët e të cilit janë <a href="/w/index.php?title=Eigenvlerat&action=edit&redlink=1" class="new" title="Eigenvlerat (nuk është shkruar akoma)">eigenvlerat</a>. Në gjeometri, volumi me shenjë n-dimensional i një paralelopipedi n-dimensional shprehet me anë të një përcaktori. Kjo përdoret në analizën matematike për format diferenciale të jashtme dhe përcaktorin e Jakobit, në veçanti për ndryshimin e variablave tek integralet e shumëfishta. </p> <div class="mw-heading mw-heading2"><h2 id="Lidhje_te_jashtme">Lidhje te jashtme</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Determinanti&veaction=edit&section=1" title="Redakto pjesën: Lidhje te jashtme" class="mw-editsection-visualeditor"><span>Redakto</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Determinanti&action=edit&section=1" title="Edit section's source code: Lidhje te jashtme"><span>Redakto nëpërmjet kodit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081220070214/http://video.google.com/videoplay?docid=-3563184015221428349">MIT Linear Algebra Lecture on Determinants</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110526222337/http://cs.nyu.edu/~yap/book/alge/ftpSite/l10.ps.gz">Linear Systems Chapter from "Fundamental Problems of Algorithmic Algebra"</a> Chee Yap's chapter on Linear Systems describing implementation aspects of Determinant computation.</li> <li>Mahajan, Meena and V. Vinay, <a rel="nofollow" class="external text" href="http://cjtcs.cs.uchicago.edu/articles/1997/5/cj97-05.pdf">“Determinant: Combinatorics, Algorithms, and Complexity”</a>, <i>Chicago Journal of Theoretical Computer Science</i>, v. 1997 article 5 (1997).</li> <li><a rel="nofollow" class="external text" href="http://matri-tri-ca.narod.ru/en.index.html">Online Matrix Calculator</a> Online Matrix calculator.</li> <li><a rel="nofollow" class="external text" href="http://www.umat.feec.vutbr.cz/~novakm/determinanty/en/">Linear algebra: determinants.</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20081204081902/http://www.umat.feec.vutbr.cz/~novakm/determinanty/en/">Arkivuar</a> 4 dhjetor 2008 tek Wayback Machine Compute determinants of matrices up to order 6 using Laplace expansion you choose.</li> <li><a rel="nofollow" class="external text" href="http://www.economics.soton.ac.uk/staff/aldrich/matrices.htm">Matrices and Linear Algebra on the Earliest Uses Pages</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20090525025830/http://algebra.math.ust.hk/course/content.shtml">Determinants explained in an easy fashion in the 4th chapter as a part of a Linear Algebra course.</a></li></ul></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Marrë nga "<a dir="ltr" href="https://sq.wikipedia.org/w/index.php?title=Determinanti&oldid=2565535">https://sq.wikipedia.org/w/index.php?title=Determinanti&oldid=2565535</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Speciale:Kategorit%C3%AB" title="Speciale:Kategoritë">Kategoria</a>: <ul><li><a href="/wiki/Kategoria:Algjeb%C3%ABr" title="Kategoria:Algjebër">Algjebër</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Kategori e fshehur: <ul><li><a href="/wiki/Kategoria:Faqe_me_adresa_nga_Wayback_Machine_q%C3%AB_p%C3%ABrdorin_stamp%C3%ABn_e_arkiv%C3%ABs_s%C3%AB_rrjetit" title="Kategoria:Faqe me adresa nga Wayback Machine që përdorin stampën e arkivës së rrjetit">Faqe me adresa nga Wayback Machine që përdorin stampën e arkivës së rrjetit</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Kjo faqe është redaktuar për herë te fundit më 3 korrik 2023, në orën 16:30.</li> <li id="footer-info-copyright">Të gjitha materialet që gjenden në këtë faqë janë të mbrojtura nga <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike License</a>;. 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