{"id":462,"date":"2023-07-16T05:03:46","date_gmt":"2023-07-16T05:03:46","guid":{"rendered":"https:\/\/mathority.org\/nl\/determinant-van-een-matrix\/"},"modified":"2023-07-16T05:03:46","modified_gmt":"2023-07-16T05:03:46","slug":"determinant-van-een-matrix","status":"publish","type":"page","link":"https:\/\/mathority.org\/nl\/determinant-van-een-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\/nl\/bereken-de-determinant-van-een-voorbeeld-van-een-1x1-matrixdeterminant\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinant-d-une-matrice-12151-1.webp\" alt=\"determinant van een 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\/nl\/determinanten-2x2-voorbeelden-en-opgeloste-oefeningen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-22152.webp\" alt=\"determinanten van 2x2 matrices\" 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\/nl\/determinanten-3x3-sarrusregelvoorbeelden-en-opgeloste-oefeningen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-32153.webp\" alt=\"determinanten van 3x3 matrices\" 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\/nl\/4x4-determinanten-door-complementaire-voorbeelden-en-opgeloste-oefeningen\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinants-de-la-matrice-42154.webp\" alt=\"determinanten van 4x4 matrices\" 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\/nl\/eigenschappen-van-determinanten-voorbeelden-en-oefeningen-2x2-3x3\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/proprietes-des-determinants-1.webp\" alt=\"eigenschappen van 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\/nl\/rang-van-een-matrix\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/plage-dun-tableau.webp\" alt=\"bereik van een 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\/nl\/omvang-van-een-matrix-als-functie-van-een-parameter-voorbeelden-en-opgeloste-oefeningen-van-matrices-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=\"arraybereik met parameters\" width=\"290\" height=\"209\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/a><\/figure>\n<\/div>\n<h2 class=\"estil_titol_H2 wp-block-heading\"> Wat is de determinant van een matrix?<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"> Een <strong>determinant<\/strong> is een vierkante matrix <strong>die wordt weergegeven door een verticale balk aan elke kant van de matrix.<\/strong><\/p>\n<p> Als we bijvoorbeeld de volgende matrix hebben:<\/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> De determinant van matrix A wordt als volgt weergegeven:<\/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> Het is belangrijk op te merken dat alleen de determinanten van vierkante matrices kunnen worden opgelost.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wat is de determinant van een matrix? Een determinant is een vierkante matrix die wordt weergegeven door een verticale balk aan elke kant van de matrix. Als we bijvoorbeeld de volgende matrix hebben: De determinant van matrix A wordt als volgt weergegeven: Het is belangrijk op te merken dat alleen de determinanten van vierkante matrices &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/nl\/determinant-van-een-matrix\/\"> <span class=\"screen-reader-text\">Determinanten<\/span> Lees meer &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-462","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\/nl\/determinant-van-een-matrix\/\" \/>\n<meta property=\"og:locale\" content=\"nl_NL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Determinanten -\" \/>\n<meta property=\"og:description\" content=\"Wat is de determinant van een matrix? 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