{"id":325,"date":"2023-07-06T08:09:51","date_gmt":"2023-07-06T08:09:51","guid":{"rendered":"https:\/\/mathority.org\/id\/contoh-matriks-yang-dapat-dialihkan-perjalanan\/"},"modified":"2023-07-06T08:09:51","modified_gmt":"2023-07-06T08:09:51","slug":"contoh-matriks-yang-dapat-dialihkan-perjalanan","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/contoh-matriks-yang-dapat-dialihkan-perjalanan\/","title":{"rendered":"Matriks yang dapat diganti"},"content":{"rendered":"<p>Di halaman ini kami menjelaskan apa itu matriks yang dapat dialihkan. Selain itu, Anda akan dapat melihat contoh untuk memahami konsep dengan baik dan, terakhir, Anda akan menemukan latihan penyelesaian langkah demi langkah di mana kita belajar menghitung semua matriks yang berpindah dengan matriks apa pun.<\/p>\n<h2 class=\"wp-block-heading\"> Apa yang dimaksud dengan matriks yang dapat dialihkan? <\/h2>\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\"> Dua <strong>matriks bersifat komutatif<\/strong> jika hasil perkaliannya tidak bergantung pada orde perkaliannya. Dengan kata lain, matriks yang dapat dialihkan memenuhi kondisi 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-6eb88f6da7a7fb25d88ae172483b637c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot B = B \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<p> Berikut adalah pengertian matriks komutatif, sekarang mari kita lihat contohnya:<\/p>\n<h2 class=\"wp-block-heading\"> Contoh matriks yang dapat dialihkan<\/h2>\n<p> Dua matriks berdimensi 2\u00d72 berikut dapat dialihkan di antara keduanya:<\/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-d4afa74407be7cf7a0142ce931dbba98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 0\\\\[1.1ex] 1 &amp; -1 \\end{pmatrix} \\quad B= \\begin{pmatrix} 3&amp; 0\\\\[1.1ex] 1 &amp; 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Komutabilitas kedua matriks dapat ditunjukkan dengan menghitung hasil perkaliannya di kedua arah: <\/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-matrices-commutables-22152-1.webp\" alt=\"contoh matriks switchable berdimensi 2x2\" class=\"wp-image-2759\" width=\"377\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Seperti yang Anda lihat, hasil perkalian keduanya sama, apa pun urutan perkaliannya. Jadi 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-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-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> mereka dapat diganti.<\/p>\n<h2 class=\"wp-block-heading\"> Latihan peralihan matriks terpecahkan<\/h2>\n<p> Kemudian kita akan melihat langkah demi langkah bagaimana menyelesaikan latihan matriks yang dapat diubah:<\/p>\n<ul>\n<li> Tentukan semua matriks yang berpindah dengan matriks persegi berikut:<\/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-0f69e9df9aa524aeabcc1716a92b5e8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 3 &amp; 1\\\\[1.1ex] 1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Untuk mengatasi masalah ini kita akan membuat matriks yang tidak diketahui:<\/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-ee9183823ea39248018c37cbac3bf2ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B=\\begin{pmatrix} a &amp; b\\\\[1.1ex] c &amp; d \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu kita harus menemukan matriks yang tidak diketahui ini.<\/p>\n<p> Untuk melakukan ini, kita akan memanfaatkan properti yang dipenuhi oleh semua matriks komutasi:<\/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-6eb88f6da7a7fb25d88ae172483b637c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot B = B \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"104\" 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-98ac92178351b7dc235918b2bc02ed90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}3 &amp; 1\\\\[1.1ex] 1 &amp; 0\\end{pmatrix}\\cdot \\begin{pmatrix} a &amp; b\\\\[1.1ex] c &amp; d \\end{pmatrix} = \\begin{pmatrix} a &amp; b\\\\[1.1ex] c &amp; d \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 1\\\\[1.1ex] 1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"291\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Sekarang kita mengalikan matriks pada kedua ruas persamaan:<\/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-5bd3e34eadc944aa1aea8f323f9796ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 3a+c &amp;3b+d\\\\[1.1ex] a &amp; b \\end{pmatrix} =  \\begin{pmatrix}3a+b &amp; a\\\\[1.1ex] 3c+d &amp; c \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, agar kesetaraan dapat dipertahankan, persamaan berikut harus dipenuhi:<\/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-d1f3094807b37f4fbc9875b5dddc5f25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} 3a+c=3a+b \\\\[2ex] 3b+d=a \\\\[2ex] a=3c+d\\\\[2ex] b= c \\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Jadi yang harus kita lakukan hanyalah menyelesaikan sistem persamaannya. Dari persamaan terakhir kita dapat menyimpulkannya<\/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-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> harus sama dengan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> :<\/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-08cf30e231c919c278f8af358e06df4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=c\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan jika kedua hal yang tidak diketahui ini ekuivalen, maka persamaan ketiga diulangi dengan persamaan kedua, maka kita dapat menghilangkannya:<\/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-b3e25af3ab248d099ae0515f9912cdf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} 3a+c=3a+b \\\\[2ex] 3b+d=a \\\\[2ex] \\cancel{a=3c+d}\\\\[2ex] b= c \\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Apalagi dari persamaan pertama kita tidak bisa menarik kesimpulan apapun, karena: <\/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-7608b6e0c6fb91990657aa470c48f5f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3a+c=3a+b \\ \\xrightarrow{b \\ = \\ c} \\ 3a+b=3a+b\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"305\" 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-762f5011b3045c2f20b77035ae8473f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3a=3a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" 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-378ae3997c3bacdce60cc73eb967fdb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, yang tersisa hanyalah persamaan kedua dan terakhir:<\/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-3486d0076e11ddae06ffbfcbb3fab66a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} 3b+d=a \\\\[2ex] b= c \\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"101\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Sehingga matriks-matriks tersebut komuter dengan matriks tersebut<\/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-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> adalah semua yang memverifikasi dua persamaan sebelumnya. Oleh karena itu, dengan mensubstitusi ekspresi-ekspresi yang ditemukan ke dalam matriks yang tidak diketahui dari awal, kita dapat mencari bentuk matriks yang berpindah-pindah dengan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-944477c7f7578892a57aa3b7c7dd8268_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" 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-ccd60f786e1324e748a7d91e41f86442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} a &amp; b\\\\[1.1ex] c &amp; d \\end{pmatrix} \\ \\longrightarrow \\ \\begin{pmatrix} 3b+d &amp; b \\\\[1.1ex] b &amp; d \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 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-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" 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-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah dua bilangan real.<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p> Jadi contoh matriks yang akan berpindah-pindah dengan matriks tersebut<\/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-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> akan menjadi 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-0c22c13d155ba46f6a9d0f6891747699_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 6 &amp; 1 \\\\[1.1ex] 1 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"54\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"> Sifat-sifat matriks yang dapat dialihkan<\/h2>\n<p> Matriks yang dapat dialihkan memiliki karakteristik sebagai berikut:<\/p>\n<ul>\n<li> Array yang dapat dialihkan <strong>tidak memiliki properti transitif<\/strong> . Dengan kata lain, meskipun matriksnya\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> bepergian dengan matriks<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" 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-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> , ini tidak berarti demikian<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" 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-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> dapat dialihkan di antara keduanya.<\/li>\n<\/ul>\n<ul>\n<li> <a href=\"https:\/\/mathority.org\/id\/matriks-diagonal\/\">Matriks-matriks diagonal<\/a> saling berpindah-pindah, yaitu matriks diagonal berpindah-pindah dengan matriks diagonal lainnya.<\/li>\n<\/ul>\n<ul>\n<li> Demikian pula, matriks skalar melakukan komutasi yang sama dengan semua matriks. Misalnya, <a href=\"https:\/\/mathority.org\/id\">matriks Identitas atau Unit<\/a> berpindah dengan semua matriks.<\/li>\n<\/ul>\n<ul>\n<li> Dua <a href=\"https:\/\/mathority.org\/id\/matriks-pertapa-atau-pertapa\/\">matriks Hermitian<\/a> berpindah jika vektor eigennya (atau vektor eigennya) bertepatan.<\/li>\n<\/ul>\n<ul>\n<li> Jelasnya, <a href=\"https:\/\/mathority.org\/id\/matriks-nol-nol\/\">matriks nol<\/a> juga komutatif dengan semua matriks.<\/li>\n<\/ul>\n<ul>\n<li> Jika hasil kali dua <a href=\"https:\/\/mathority.org\/id\/contoh-matriks-simetris-dan-sifat-sifatnya\/\">matriks simetris<\/a> menghasilkan matriks simetris lainnya, maka kedua matriks tersebut harus melakukan perjalanan.<\/li>\n<\/ul>\n<ul>\n<li> Jika diagonalisasi dua matriks dapat dilakukan secara bersamaan, maka matriks tersebut harus bersifat komutatif. Oleh karena itu, kedua matriks ini juga memiliki basis vektor eigen atau vektor eigen ortonormal yang sama.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini kami menjelaskan apa itu matriks yang dapat dialihkan. Selain itu, Anda akan dapat melihat contoh untuk memahami konsep dengan baik dan, terakhir, Anda akan menemukan latihan penyelesaian langkah demi langkah di mana kita belajar menghitung semua matriks yang berpindah dengan matriks apa pun. Apa yang dimaksud dengan matriks yang dapat dialihkan? Dua &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/contoh-matriks-yang-dapat-dialihkan-perjalanan\/\"> <span class=\"screen-reader-text\">Matriks yang dapat diganti<\/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-325","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 yang dapat diganti - 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-matriks-yang-dapat-dialihkan-perjalanan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Matriks yang dapat diganti - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini kami menjelaskan apa itu matriks yang dapat dialihkan. Selain itu, Anda akan dapat melihat contoh untuk memahami konsep dengan baik dan, terakhir, Anda akan menemukan latihan penyelesaian langkah demi langkah di mana kita belajar menghitung semua matriks yang berpindah dengan matriks apa pun. Apa yang dimaksud dengan matriks yang dapat dialihkan? 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