{"id":321,"date":"2023-07-06T23:03:43","date_gmt":"2023-07-06T23:03:43","guid":{"rendered":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/"},"modified":"2023-07-06T23:03:43","modified_gmt":"2023-07-06T23:03:43","slug":"voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen","status":"publish","type":"post","link":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/","title":{"rendered":"Matrix transponeren (of transponeren)"},"content":{"rendered":"<p>Op deze pagina zullen we zien hoe we de <strong>transpositiematrix (of transpositiematrix)<\/strong> berekenen. Je ziet ook opgeloste oefeningen zodat je geen twijfels hebt over hoe je een matrix moet transponeren.<\/p>\n<h2 class=\"wp-block-heading\"> Hoe bereken ik de getransponeerde matrix (of transpositie)?<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"> De <strong>transponeermatrix<\/strong> , ook wel de transponeermatrix genoemd, is de matrix die wordt verkregen door <strong>rijen in kolommen te veranderen<\/strong> . De getransponeerde matrix wordt weergegeven door een \u201ct\u201d rechtsboven in de matrix te plaatsen (A <sup>t<\/sup> ).<\/p>\n<p> Laten we <strong>bijvoorbeeld<\/strong> de volgende matrix transponeren:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8613db3e71f21d9ee2c4dc003600e32a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 2 &amp; 3 &amp; 1 \\\\[1.1ex] 4 &amp; 5 &amp; 0   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Om de matrix A te transponeren, <strong>verandert u eenvoudigweg de rijen met de kolommen<\/strong> . Met andere woorden, de eerste rij van de matrix wordt de eerste kolom van de matrix en de tweede rij van de matrix wordt de tweede kolom van de matrix:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7cf9e274915aef7e44582556d188197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^t= \\begin{pmatrix} 2 &amp; 4 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] 1 &amp; 0   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"103\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Hier zijn verschillende uitgewerkte voorbeelden van hoe u de getransponeerde matrix kunt vinden:<\/p>\n<h2 class=\"wp-block-heading\"> Voorbeelden van getransponeerde matrices<\/h2>\n<h3 class=\"wp-block-heading\"> voorbeeld 1 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e3a8e6d458b2d60aabcedfe33c0297a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B= \\begin{pmatrix} 1 &amp; 5\\\\[1.1ex] 7 &amp; 2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>zie oplossing<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-321fc68b5d5d3c546461c29b80102a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B^t= \\begin{pmatrix} 1 &amp; 7\\\\[1.1ex] 5 &amp; 2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Voorbeeld 2 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8295b1417a32fc9378584f87c67abc05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C= \\begin{pmatrix} -1 &amp; 4 &amp; 3 \\\\[1.1ex] 5 &amp; 3 &amp; 2 \\\\[1.1ex] 6 &amp; 0 &amp; 9  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>zie oplossing<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5274e4fc9bdc5939e3a5a08e6a8e41b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C^t= \\begin{pmatrix} -1 &amp; 5 &amp; 6 \\\\[1.1ex] 4 &amp; 3 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 9  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"143\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\"> Voorbeeld 3 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e2d2268ed4a7fee24a06a7a7f7cd76b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle D= \\begin{pmatrix} 2 &amp; 6 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>zie oplossing<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1c2184833ec63a43162fde532f6e593_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle D^t= \\begin{pmatrix}2 \\\\[1.1ex] 6 \\\\[1.1ex] -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"94\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Voorbeeld 4 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d83760eb84d950a0d31727e522d88f5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E= \\begin{pmatrix} 9 &amp; 0  \\\\[1.1ex] 2 &amp; -1 \\\\[1.1ex] 5 &amp; 3   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"112\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>zie oplossing<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c01a100ebae58a267a286f88010a796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E^t= \\begin{pmatrix} 9 &amp; 2 &amp; 5  \\\\[1.1ex] 0 &amp; -1 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Een van de toepassingen van matrixtransponering is <a href=\"https:\/\/mathority.org\/nl\/omgekeerde-matrix\/\">het berekenen van de inverse matrix met de bijgevoegde matrixformule of met behulp van determinanten<\/a> . Hoewel je om deze methode te gebruiken ook moet weten hoe je determinatoren moet oplossen, vind je op de gelinkte pagina een uitleg van de hele procedure en kun je ook voorbeelden en oefeningen zien die stap voor stap worden opgelost.<\/p>\n<h2 class=\"wp-block-heading\"> Eigenschappen van de getransponeerde matrix<\/h2>\n<p> De getransponeerde matrix heeft de volgende kenmerken:<\/p>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Involutionele eigenschap:<\/span><\/strong> De transpositie van een getransponeerde matrix is gelijk aan de originele matrix.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a776188cca22c35019064e846b61b4b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^t\\right)^t = A\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"76\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Distributieve eigenschap:<\/span><\/strong> het optellen van twee matrices en het transponeren van het resultaat komt neer op het eerst transponeren van elke matrix en deze vervolgens optellen: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aff76a8cf7355ea147e7a885b034b462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A+B\\right)^t = A^t+B^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Lineaire eigenschap (product van matrices):<\/span><\/strong> Het vermenigvuldigen van twee matrices en vervolgens het transponeren van het resultaat is gelijk aan het eerst transponeren van elke matrix en vervolgens vermenigvuldigen, maar de volgorde van vermenigvuldiging wisselen:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32a851b103c6805a1bf495dbdc04ddc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A\\cdot B\\right)^t = B^t\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Lineaire (constante) eigenschap:<\/span><\/strong> Het transponeren van het resultaat van het product van een matrix met een constante is gelijk aan het vermenigvuldigen van de matrix die al is getransponeerd met de constante.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-802c2bde61d7e419e73a5d5424661aec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(c\\cdot A\\right)^t = c\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Symmetrische matrix:<\/span><\/strong> Als de transponering van een matrix gelijk is aan de matrix zonder transponering, zeggen we dat het een <strong>symmetrische matrix is:<\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d15c8f7ea597b852f92fdb47dbdb8c80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{pmatrix} 7 &amp; 1 &amp; 3 \\\\[1.1ex] 1 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 5  \\end{pmatrix} \\right.^t = \\begin{pmatrix} 7 &amp; 1 &amp; 3 \\\\[1.1ex] 1 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 5  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"202\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong><span style=\"color:#1976d2;\">Antisymmetrische eigenschap:<\/span><\/strong> Als we bij het transponeren van een wiskundige matrix dezelfde matrix verkrijgen, maar waarbij alle elementen van teken veranderen, is het een <strong>antisymmetrische matrix:<\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5fcd7cfe60e5570bb668945b81540254_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{pmatrix} 0 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 0 &amp; 6 \\\\[1.1ex] -4 &amp; -6 &amp; 0  \\end{pmatrix}\\right.^t = \\begin{pmatrix} 0 &amp; -2 &amp; -4 \\\\[1.1ex] 2 &amp; 0 &amp; -6 \\\\[1.1ex] 4 &amp; 6 &amp; 0  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"257\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Op deze pagina zullen we zien hoe we de transpositiematrix (of transpositiematrix) berekenen. Je ziet ook opgeloste oefeningen zodat je geen twijfels hebt over hoe je een matrix moet transponeren. Hoe bereken ik de getransponeerde matrix (of transpositie)? De transponeermatrix , ook wel de transponeermatrix genoemd, is de matrix die wordt verkregen door rijen in &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\"> <span class=\"screen-reader-text\">Matrix transponeren (of transponeren)<\/span> Lees meer &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","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":""},"categories":[52],"tags":[],"class_list":["post-321","post","type-post","status-publish","format-standard","hentry","category-schilderijen"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Matrix transponeren (of transponeren) - Mathority<\/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\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\" \/>\n<meta property=\"og:locale\" content=\"nl_NL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Matrix transponeren (of transponeren) - Mathority\" \/>\n<meta property=\"og:description\" content=\"Op deze pagina zullen we zien hoe we de transpositiematrix (of transpositiematrix) berekenen. Je ziet ook opgeloste oefeningen zodat je geen twijfels hebt over hoe je een matrix moet transponeren. Hoe bereken ik de getransponeerde matrix (of transpositie)? De transponeermatrix , ook wel de transponeermatrix genoemd, is de matrix die wordt verkregen door rijen in &hellip; Matrix transponeren (of transponeren) Lees meer &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T23:03:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8613db3e71f21d9ee2c4dc003600e32a_l3.png\" \/>\n<meta name=\"author\" content=\"Redactioneel Team\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Geschreven door\" \/>\n\t<meta name=\"twitter:data1\" content=\"Redactioneel Team\" \/>\n\t<meta name=\"twitter:label2\" content=\"Geschatte leestijd\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuten\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\",\"url\":\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\",\"name\":\"Matrix transponeren (of transponeren) - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/nl\/#website\"},\"datePublished\":\"2023-07-06T23:03:43+00:00\",\"dateModified\":\"2023-07-06T23:03:43+00:00\",\"author\":{\"@id\":\"https:\/\/mathority.org\/nl\/#\/schema\/person\/19b550cef1a9fbd238be112b7b7bbf64\"},\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/#breadcrumb\"},\"inLanguage\":\"nl-NL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Matrix transponeren (of transponeren)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/nl\/#website\",\"url\":\"https:\/\/mathority.org\/nl\/\",\"name\":\"\",\"description\":\"Waar nieuwsgierigheid en berekening elkaar ontmoeten!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/nl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"nl-NL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/nl\/#\/schema\/person\/19b550cef1a9fbd238be112b7b7bbf64\",\"name\":\"Redactioneel Team\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"nl-NL\",\"@id\":\"https:\/\/mathority.org\/nl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Redactioneel Team\"},\"sameAs\":[\"http:\/\/mathority.org\/nl\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Matrix transponeren (of transponeren) - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/","og_locale":"nl_NL","og_type":"article","og_title":"Matrix transponeren (of transponeren) - Mathority","og_description":"Op deze pagina zullen we zien hoe we de transpositiematrix (of transpositiematrix) berekenen. Je ziet ook opgeloste oefeningen zodat je geen twijfels hebt over hoe je een matrix moet transponeren. Hoe bereken ik de getransponeerde matrix (of transpositie)? De transponeermatrix , ook wel de transponeermatrix genoemd, is de matrix die wordt verkregen door rijen in &hellip; Matrix transponeren (of transponeren) Lees meer &raquo;","og_url":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/","article_published_time":"2023-07-06T23:03:43+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8613db3e71f21d9ee2c4dc003600e32a_l3.png"}],"author":"Redactioneel Team","twitter_card":"summary_large_image","twitter_misc":{"Geschreven door":"Redactioneel Team","Geschatte leestijd":"2 minuten"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/","url":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/","name":"Matrix transponeren (of transponeren) - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/nl\/#website"},"datePublished":"2023-07-06T23:03:43+00:00","dateModified":"2023-07-06T23:03:43+00:00","author":{"@id":"https:\/\/mathority.org\/nl\/#\/schema\/person\/19b550cef1a9fbd238be112b7b7bbf64"},"breadcrumb":{"@id":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/#breadcrumb"},"inLanguage":"nl-NL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/nl\/voorbeelden-van-getransponeerde-of-getransponeerde-matrix-en-opgeloste-oefeningen\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/nl\/"},{"@type":"ListItem","position":2,"name":"Matrix transponeren (of transponeren)"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/nl\/#website","url":"https:\/\/mathority.org\/nl\/","name":"","description":"Waar nieuwsgierigheid en berekening elkaar ontmoeten!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/nl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"nl-NL"},{"@type":"Person","@id":"https:\/\/mathority.org\/nl\/#\/schema\/person\/19b550cef1a9fbd238be112b7b7bbf64","name":"Redactioneel Team","image":{"@type":"ImageObject","inLanguage":"nl-NL","@id":"https:\/\/mathority.org\/nl\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Redactioneel Team"},"sameAs":["http:\/\/mathority.org\/nl"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/posts\/321","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/comments?post=321"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/posts\/321\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/media?parent=321"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/categories?post=321"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/nl\/wp-json\/wp\/v2\/tags?post=321"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}