{"id":346,"date":"2023-07-06T02:05:07","date_gmt":"2023-07-06T02:05:07","guid":{"rendered":"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/"},"modified":"2023-07-06T02:05:07","modified_gmt":"2023-07-06T02:05:07","slug":"contoh-dan-sifat-matriks-antisimetris","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/","title":{"rendered":"Matriks antisimetris"},"content":{"rendered":"<p>Pada halaman ini kami menjelaskan apa itu matriks antisimetris. Selain itu, Anda akan dapat melihat beberapa contoh serta struktur khasnya untuk memahaminya dengan sempurna. Kami juga menjelaskan kekhasan penghitungan determinan matriks antisimetris dan semua sifat matriks jenis ini. Dan terakhir, Anda akan menemukan cara menguraikan matriks persegi apa pun menjadi jumlah matriks simetris ditambah matriks antisimetris lainnya. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/que-sont-les-matrices-antisymetriques-.webp\" alt=\"\" class=\"wp-image-3594\" width=\"201\" height=\"201\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"> Apa yang dimaksud dengan matriks antisimetris?<\/h2>\n<p> Pengertian matriks antisimetris adalah sebagai berikut: <\/p>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p style=\"text-align:left\"> <strong>Matriks antisimetris<\/strong> adalah matriks persegi yang transposnya sama dengan negatif matriksnya.<\/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-7af2e0eb5d0007196810dfded8574ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^t = -A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> Emas<\/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-afd3cedfe0f405ed9f2d585b5ac1d8cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> mewakili matriks yang ditransposisikan dari<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d09b2a922b3d10a159833112b4f3487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah matriksnya<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> dengan semua elemennya berubah tanda.<\/p>\n<\/div>\n<h2 class=\"wp-block-heading\"> Contoh matriks antisimetris<\/h2>\n<p> Setelah kita mengetahui konsep matriks antisimetri, kita akan melihat beberapa contoh matriks antisimetris untuk lebih memahaminya:<\/p>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <span style=\"text-decoration: underline;\">Contoh matriks antisimetri berorde 2\u00d72<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-matrices-antisymetriques-22152-1.webp\" alt=\"contoh matriks antisimetris berdimensi 2x2\" class=\"wp-image-3596\" width=\"136\" height=\"76\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-matrice-antisymetrique-22152-1.webp\" alt=\"menyelesaikan latihan matriks antisimetris berdimensi 2x2\" class=\"wp-image-3597\" width=\"144\" height=\"73\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <span style=\"text-decoration: underline;\">Contoh matriks antisimetris berdimensi 3\u00d73<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-matrice-antisymetrique-32153-1.webp\" alt=\"contoh matriks antisimetris berdimensi 3x3\" class=\"wp-image-3600\" width=\"195\" height=\"113\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-matrice-antisymetrique-32153-1.webp\" alt=\"menyelesaikan latihan matriks antisimetris berdimensi 3x3\" class=\"wp-image-3599\" width=\"201\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <span style=\"text-decoration: underline;\">Contoh matriks antisimetris berukuran 4\u00d74<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-matrice-antisymetrique-42154-1.webp\" alt=\"contoh matriks antisimetris berdimensi 4x4\" class=\"wp-image-3601\" width=\"249\" height=\"146\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-matrice-antisymetrique-42154-1.webp\" alt=\"menyelesaikan latihan matriks antisimetris berdimensi 4x4\" class=\"wp-image-3602\" width=\"253\" height=\"144\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Saat melakukan transposisi ketiga matriks ini, kami memverifikasi bahwa ketiga matriks tersebut antisimetris, karena matriks yang ditransposisikan ekuivalen dengan matriks aslinya yang diubah tandanya.<\/p>\n<h2 class=\"wp-block-heading\"> Struktur matriks antisimetris<\/h2>\n<p> Agar syarat matriks antisimetris terpenuhi, matriks tersebut harus selalu mempunyai jenis struktur yang sama: bilangan-bilangan pada diagonal utama semuanya sama dengan nol dan elemen baris <em>i<\/em> dan kolom <em>j<\/em> adalah negatif elemen baris <em>j<\/em> dan kolom <em>saya<\/em> . Dengan kata lain, bentuk matriks antisimetrisnya adalah sebagai berikut:<\/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-21250d80d061affcf74ef1338b4d1314_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 0 &amp; a &amp; b &amp; \\cdots &amp; c\\\\[1.1ex]-a &amp; 0 &amp; d &amp; \\cdots &amp;e\\\\[1.1ex]-b &amp; -d &amp; 0 &amp; \\cdots &amp; f\\\\[1.1ex]\\vdots &amp; \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots\\\\[1.1ex] -c &amp; -e &amp; -f &amp; \\cdots &amp; 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"149\" width=\"191\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, diagonal utama matriks antisimetri bertindak sebagai sumbu antisimetri. Dari sinilah nama matriks khusus ini berasal.<\/p>\n<h2 class=\"wp-block-heading\"> Penentu matriks antisimetris<\/h2>\n<p> Penentu matriks antisimetris bergantung pada dimensi matriks tersebut. Hal ini disebabkan oleh sifat-sifat determinan:<\/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-ba35ef7bdf1aed516219ba1d9bbf9244_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\text{det}(A)=\\text{det}(A^t)=\\text{det}(-A)=(-1)^n \\text{det}(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"342\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jadi, <strong>jika matriks antisimetris berorde ganjil, determinannya sama dengan 0<\/strong> . Sebaliknya, jika matriks antisimetris berdimensi genap, determinannya dapat bernilai berapa pun.<\/p>\n<p> Oleh karena itu, matriks antisimetris berdimensi ganjil merupakan matriks tunggal atau matriks berdegenerasi. Sebaliknya, matriks antisimetri berorde genap adalah matriks beraturan.<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h2 class=\"wp-block-heading\"> Sifat-sifat matriks antisimetris<\/h2>\n<p> Ciri-ciri matriks antisimetri adalah sebagai berikut:<\/p>\n<ul>\n<li> Penjumlahan (atau pengurangan) dua matriks antisimetri menghasilkan matriks antisimetris lainnya. Karena mentransposisi dua matriks yang ditambah (atau dikurangi) sama dengan mentransposisi setiap matriks secara terpisah:<\/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-7bd08c2680bc7fe6806bd8b6f93c2952_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(A+B\\right)^t = A^t+B^t = -A-B\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Setiap matriks antisimetris yang dikalikan dengan suatu skalar juga akan menghasilkan matriks antisimetris yang lain.<\/li>\n<\/ul>\n<ul>\n<li> Kekuatan matriks antisimetri setara dengan matriks antisimetris atau matriks simetris. Jika eksponennya bilangan genap maka hasil pangkatnya adalah matriks simetris, tetapi jika pangkatnya ganjil maka hasil pangkatnya adalah matriks antisimetris. Anda dapat berkonsultasi di tautan ini <a href=\"https:\/\/mathority.org\/id\/contoh-matriks-simetris-dan-sifat-sifatnya\/\">apa itu matriks simetris<\/a> .<\/li>\n<\/ul>\n<ul>\n<li> Jejak matriks antisimetris selalu sama dengan nol.<\/li>\n<\/ul>\n<ul>\n<li> Jumlah matriks antisimetri ditambah <a href=\"https:\/\/mathority.org\/id\">matriks kesatuan<\/a> menghasilkan matriks yang dapat dibalik.<\/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-d364455bbe71272e507da222e9f1cee9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A+I)\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Semua nilai eigen (atau nilai eigen) sebenarnya dari matriks antisimetris adalah 0. Namun, matriks antisimetris juga dapat memiliki nilai eigen yang kompleks.<\/li>\n<\/ul>\n<ul>\n<li> Semua matriks antisimetris adalah matriks normal. Oleh karena itu, mereka tunduk pada teorema spektral, yang mengatakan bahwa matriks antisimetris dapat didiagonalisasi oleh matriks kesatuan. <\/li>\n<\/ul>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"> Penguraian matriks persegi menjadi matriks simetris dan matriks antisimetris<\/h2>\n<p> Ciri khusus matriks persegi adalah matriks tersebut dapat diuraikan menjadi jumlah matriks simetris ditambah matriks antisimetris.<\/p>\n<p> Rumus yang memungkinkan kita melakukan hal ini adalah sebagai berikut:<\/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-a3b9aa2b7ed0e9ce31587d4f00f1144e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{c} C = S + A \\\\[2ex] S = \\cfrac{1}{2}\\cdot (C+C^t) \\qquad A = \\cfrac{1}{2} \\cdot (C-C^t)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"293\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dimana C adalah matriks persegi yang ingin kita dekomposisi, C <sup>t<\/sup> transposnya, dan terakhir S dan A masing-masing adalah matriks simetris dan antisimetris yang menjadi tempat dekomposisi matriks C.<\/p>\n<p> Di bawah ini Anda memiliki latihan yang diselesaikan untuk mendemonstrasikan rumusnya. Mari kita dekomposisi matriks berikut:<\/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-5534c773c54b15eab3d0ab4a5823ce6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\begin{pmatrix} 1&amp; 5 \\\\[1.1ex] -3 &amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Kita menghitung matriks simetris dan antisimetris dengan rumus:<\/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-f44ecbf11344f1de645aed313f801fa0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle S=\\cfrac{1}{2}\\cdot (C+C^t)= \\begin{pmatrix} 1&amp; 1 \\\\[1.1ex] 1 &amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"210\" style=\"vertical-align: 0px;\"><\/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-8bc3c78415b6596b99186207efde54e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\cfrac{1}{2}\\cdot (C-C^t)= \\begin{pmatrix} 0&amp; 4 \\\\[1.1ex] -4 &amp;0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"225\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan kita dapat memeriksa apakah persamaan tersebut terpenuhi dengan menjumlahkan kedua matriks: <\/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-f2a938eebbcc10adb3c3392634a62fbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=S+A \\quad ?\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"110\" style=\"vertical-align: -2px;\"><\/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-2725b1e3a2de74b4446145ef32b61d1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{pmatrix} 1&amp; 1 \\\\[1.1ex] 1 &amp;2\\end{pmatrix}+\\begin{pmatrix} 0&amp; 4 \\\\[1.1ex] -4 &amp;0\\end{pmatrix}=\\begin{pmatrix} 1&amp; 5 \\\\[1.1ex] -3 &amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"251\" style=\"vertical-align: 0px;\"><\/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-4d009f71f52fd49559eefc457d18a8be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=S+A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"84\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u2705<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pada halaman ini kami menjelaskan apa itu matriks antisimetris. Selain itu, Anda akan dapat melihat beberapa contoh serta struktur khasnya untuk memahaminya dengan sempurna. Kami juga menjelaskan kekhasan penghitungan determinan matriks antisimetris dan semua sifat matriks jenis ini. Dan terakhir, Anda akan menemukan cara menguraikan matriks persegi apa pun menjadi jumlah matriks simetris ditambah matriks &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\"> <span class=\"screen-reader-text\">Matriks antisimetris<\/span> Selengkapnya &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":[64],"tags":[],"class_list":["post-346","post","type-post","status-publish","format-standard","hentry","category-jenis-tabel"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Matriks antisimetris - 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\/id\/contoh-dan-sifat-matriks-antisimetris\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Matriks antisimetris - Mathority\" \/>\n<meta property=\"og:description\" content=\"Pada halaman ini kami menjelaskan apa itu matriks antisimetris. Selain itu, Anda akan dapat melihat beberapa contoh serta struktur khasnya untuk memahaminya dengan sempurna. Kami juga menjelaskan kekhasan penghitungan determinan matriks antisimetris dan semua sifat matriks jenis ini. Dan terakhir, Anda akan menemukan cara menguraikan matriks persegi apa pun menjadi jumlah matriks simetris ditambah matriks &hellip; Matriks antisimetris Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T02:05:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/que-sont-les-matrices-antisymetriques-.webp\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Matriks antisimetris\",\"datePublished\":\"2023-07-06T02:05:07+00:00\",\"dateModified\":\"2023-07-06T02:05:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\"},\"wordCount\":528,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Jenis tabel\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\",\"url\":\"https:\/\/mathority.org\/id\/contoh-dan-sifat-matriks-antisimetris\/\",\"name\":\"Matriks antisimetris - 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