{"id":420,"date":"2023-07-16T05:03:46","date_gmt":"2023-07-16T05:03:46","guid":{"rendered":"https:\/\/mathority.org\/de\/determinante-einer-matrix\/"},"modified":"2023-07-16T05:03:46","modified_gmt":"2023-07-16T05:03:46","slug":"determinante-einer-matrix","status":"publish","type":"page","link":"https:\/\/mathority.org\/de\/determinante-einer-matrix\/","title":{"rendered":"Determinanten"},"content":{"rendered":"<div class=\"wp-block-columns is-layout-flex wp-container-11 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"> <a href=\"https:\/\/mathority.org\/de\/berechnen-sie-die-determinante-eines-beispiels-einer-1x1-matrixdeterminante\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinant-d-une-matrice-12151-1.webp\" alt=\"Determinante einer 1x1-Matrix\" class=\"wp-image-3965\" width=\"290\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"> <a href=\"https:\/\/mathority.org\/de\/determinanten-2x2-beispiele-und-geloste-ubungen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-22152.webp\" alt=\"Determinanten von 2x2-Matrizen\" class=\"wp-image-1255\" width=\"290\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"> <a href=\"https:\/\/mathority.org\/de\/determinanten-3x3-sarrus-regelbeispiele-und-geloste-ubungen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-32153.webp\" alt=\"Determinanten von 3x3-Matrizen\" width=\"290\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-15 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"> <a href=\"https:\/\/mathority.org\/de\/4x4-determinanten-durch-erganzende-beispiele-und-geloste-ubungen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-42154.webp\" alt=\"Determinanten von 4x4-Matrizen\" width=\"290\" height=\"204\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"> <a href=\"https:\/\/mathority.org\/de\/eigenschaften-von-determinanten-beispiele-und-ubungen-2x2-3x3\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/proprietes-des-determinants-1.webp\" alt=\"Eigenschaften von Determinanten\" width=\"290\" height=\"209\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a> <\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"> <a href=\"https:\/\/mathority.org\/de\/rang-einer-matrix\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plage-dun-tableau.webp\" alt=\"Bereich einer Matrix\" width=\"290\" height=\"204\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"> <a href=\"https:\/\/mathority.org\/de\/umfang-einer-matrix-als-funktion-eines-parameters-beispiele-und-geloste-aufgaben-zu-matrizen-2x2-3x3-3x4-4x4\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plage-de-matrices-en-fonction-des-parametres.webp\" alt=\"Array-Bereich mit Parametern\" width=\"290\" height=\"209\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a><\/figure>\n<\/div>\n<h2 class=\"estil_titol_H2 wp-block-heading\"> Was ist die Determinante einer Matrix?<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"> Eine <strong>Determinante<\/strong> ist eine quadratische Matrix <strong>, die durch einen vertikalen Balken auf jeder Seite der Matrix dargestellt wird.<\/strong><\/p>\n<p> Wenn wir zum Beispiel die folgende Matrix haben:<\/p>\n<p class=\"text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1ed5a8a03d365d1491fa7424b7b7bb85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A =\\begin{pmatrix} a_{11} &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\[1.1ex] a_{21} &amp; a_{22} &amp; \\cdots &amp; a_{2n} \\\\[1.1ex] \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\[1.1ex] a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"117\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Die Determinante der Matrix A wird wie folgt dargestellt:<\/p>\n<p class=\"text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfe3f2f0c87f178c80a2e41586f36ddf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix} A \\end{vmatrix} = \\begin{vmatrix} a_{11} &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\[1.1ex] a_{21} &amp; a_{22} &amp; \\cdots &amp; a_{2n} \\\\[1.1ex] \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\[1.1ex] a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} \\end{vmatrix} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Es ist wichtig zu beachten, dass nur die Determinanten quadratischer Matrizen gel\u00f6st werden k\u00f6nnen.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Was ist die Determinante einer Matrix? Eine Determinante ist eine quadratische Matrix , die durch einen vertikalen Balken auf jeder Seite der Matrix dargestellt wird. Wenn wir zum Beispiel die folgende Matrix haben: Die Determinante der Matrix A wird wie folgt dargestellt: Es ist wichtig zu beachten, dass nur die Determinanten quadratischer Matrizen gel\u00f6st werden &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/de\/determinante-einer-matrix\/\"> <span class=\"screen-reader-text\">Determinanten<\/span> Weiterlesen &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"class_list":["post-420","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Determinanten -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/de\/determinante-einer-matrix\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Determinanten -\" \/>\n<meta property=\"og:description\" content=\"Was ist die Determinante einer Matrix? 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