{"id":334,"date":"2023-07-06T04:57:25","date_gmt":"2023-07-06T04:57:25","guid":{"rendered":"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/"},"modified":"2023-07-06T04:57:25","modified_gmt":"2023-07-06T04:57:25","slug":"berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/","title":{"rendered":"Apa matriks invers dari matriks unit atau identitas?"},"content":{"rendered":"<p>Matriks satuan atau disebut juga matriks identitas merupakan matriks yang dapat dibalik. Meskipun matriks ini terlihat sangat sederhana karena hanya diisi dengan angka 0 dan 1, matriks jenis ini juga dapat diinversi.<\/p>\n<p> Faktanya, <strong>kebalikan dari matriks Unit atau Identitas itu sendiri<\/strong> :<\/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-0c222a6ea3f9dc73a624fdb45de76b84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystlye \\left.I \\right. = \\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0&amp; 0&amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"120\" 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-40611d2c96c53b45c50a6435b2fae2c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystlye \\bm{I^{-1}=} \\begin{pmatrix} \\bm{1} &amp; \\bm{0} &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{1} &amp; \\bm{0} \\\\[1.1ex] \\bm{0}&amp; \\bm{0}&amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Jika Anda ingin mengetahui secara pasti cara menghitungnya, Anda dapat melihat halaman kami tentang <a href=\"https:\/\/mathority.org\/id\/matriks-terbalik\/\">cara mencari invers suatu matriks<\/a> , di mana kami menjelaskan langkah demi langkah 2 metode yang ada untuk menginversi matriks apa pun dan ada juga beberapa contoh penyelesaian dan latihan sehingga Anda bisa berlatih.<\/p>\n<p> Kita dapat menunjukkan bahwa matriks Identitas dan inversnya memenuhi sifat utama matriks invers, karena jelas hasil kali matriks antara matriks Satuan dan inversnya sama dengan matriks Identitas:<\/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-0a19918a9fd10e2cfc54978c25980583_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystlye I\\cdot I^{-1} =I^{-1}\\cdot I= I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Di sisi lain, alasan mengapa matriks Identik dapat dibalik adalah karena determinannya berbeda dari 0:<\/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-c091fb543df98237f3f177f01d8003b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystlye \\begin{vmatrix}I \\end{vmatrix} =\\begin{vmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0&amp; 0&amp; 1 \\end{vmatrix} = 1 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Selanjutnya determinan matriks Identitas atau Unit akan selalu sama dengan 1 berapapun dimensi matriksnya, sehingga akan selalu berupa matriks beraturan atau matriks tak berdegenerasi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matriks satuan atau disebut juga matriks identitas merupakan matriks yang dapat dibalik. Meskipun matriks ini terlihat sangat sederhana karena hanya diisi dengan angka 0 dan 1, matriks jenis ini juga dapat diinversi. Faktanya, kebalikan dari matriks Unit atau Identitas itu sendiri : Jika Anda ingin mengetahui secara pasti cara menghitungnya, Anda dapat melihat halaman kami &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\"> <span class=\"screen-reader-text\">Apa matriks invers dari matriks unit atau identitas?<\/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":[63],"tags":[],"class_list":["post-334","post","type-post","status-publish","format-standard","hentry","category-matriks-terbalik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Apa matriks invers dari matriks Unit atau Identitas? -Matoritas<\/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\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apa matriks invers dari matriks Unit atau Identitas? -Matoritas\" \/>\n<meta property=\"og:description\" content=\"Matriks satuan atau disebut juga matriks identitas merupakan matriks yang dapat dibalik. Meskipun matriks ini terlihat sangat sederhana karena hanya diisi dengan angka 0 dan 1, matriks jenis ini juga dapat diinversi. Faktanya, kebalikan dari matriks Unit atau Identitas itu sendiri : Jika Anda ingin mengetahui secara pasti cara menghitungnya, Anda dapat melihat halaman kami &hellip; Apa matriks invers dari matriks unit atau identitas? Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T04:57:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c222a6ea3f9dc73a624fdb45de76b84_l3.png\" \/>\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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Apa matriks invers dari matriks unit atau identitas?\",\"datePublished\":\"2023-07-06T04:57:25+00:00\",\"dateModified\":\"2023-07-06T04:57:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\"},\"wordCount\":157,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Matriks terbalik\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\",\"url\":\"https:\/\/mathority.org\/id\/berapa-matriks-invers-dari-matriks-satuan-atau-matriks-identitas-tersebut\/\",\"name\":\"Apa matriks invers dari matriks Unit atau Identitas? 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Meskipun matriks ini terlihat sangat sederhana karena hanya diisi dengan angka 0 dan 1, matriks jenis ini juga dapat diinversi. Faktanya, kebalikan dari matriks Unit atau Identitas itu sendiri : Jika Anda ingin mengetahui secara pasti cara menghitungnya, Anda dapat melihat halaman kami &hellip; Apa matriks invers dari matriks unit atau identitas? 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