{"id":336,"date":"2023-07-06T04:57:25","date_gmt":"2023-07-06T04:57:25","guid":{"rendered":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/"},"modified":"2023-07-06T04:57:25","modified_gmt":"2023-07-06T04:57:25","slug":"qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita","status":"publish","type":"post","link":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/","title":{"rendered":"Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?"},"content":{"rendered":"<p>La matrice unitaria, detta anche matrice identit\u00e0, \u00e8 una matrice invertibile. Anche se pu\u00f2 sembrare una matrice molto semplice perch\u00e9 \u00e8 piena solo di 0 e 1, questo tipo di matrice pu\u00f2 anche essere invertita.<\/p>\n<p> Infatti, <strong>l&#8217;inverso della matrice Unit\u00e0 o Identit\u00e0 \u00e8 essa stessa<\/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> Se vuoi sapere esattamente come si calcola, puoi consultare la nostra pagina su <a href=\"https:\/\/mathority.org\/it\/matrice-inversa\/\">come trovare l&#8217;inverso di una matrice<\/a> , dove spieghiamo passo dopo passo i 2 metodi che esistono per invertire qualsiasi matrice e ci sono anche diversi esempi risolti e esercizi per esercitarti.<\/p>\n<p> Possiamo dimostrare che la matrice Identit\u00e0 e la sua inversa soddisfano la propriet\u00e0 principale delle matrici inverse, perch\u00e9 ovviamente il prodotto di matrice tra la matrice Unitaria e la sua inversa \u00e8 uguale alla matrice Identit\u00e0:<\/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> D\u2019altra parte, il motivo per cui la matrice Identica \u00e8 invertibile \u00e8 che il suo determinante \u00e8 diverso da 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> Inoltre, il determinante della matrice Identit\u00e0 o Unit\u00e0 sar\u00e0 sempre uguale a 1 qualunque sia la dimensione della matrice, quindi sar\u00e0 sempre una matrice regolare o non degenere.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>La matrice unitaria, detta anche matrice identit\u00e0, \u00e8 una matrice invertibile. Anche se pu\u00f2 sembrare una matrice molto semplice perch\u00e9 \u00e8 piena solo di 0 e 1, questo tipo di matrice pu\u00f2 anche essere invertita. Infatti, l&#8217;inverso della matrice Unit\u00e0 o Identit\u00e0 \u00e8 essa stessa : Se vuoi sapere esattamente come si calcola, puoi consultare &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\"> <span class=\"screen-reader-text\">Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?<\/span> Leggi altro &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":[31],"tags":[],"class_list":["post-336","post","type-post","status-publish","format-standard","hentry","category-matrice-inversa"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0<\/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\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0\" \/>\n<meta property=\"og:description\" content=\"La matrice unitaria, detta anche matrice identit\u00e0, \u00e8 una matrice invertibile. Anche se pu\u00f2 sembrare una matrice molto semplice perch\u00e9 \u00e8 piena solo di 0 e 1, questo tipo di matrice pu\u00f2 anche essere invertita. Infatti, l&#8217;inverso della matrice Unit\u00e0 o Identit\u00e0 \u00e8 essa stessa : Se vuoi sapere esattamente come si calcola, puoi consultare &hellip; Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0? Leggi altro &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\" \/>\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=\"Squadra di Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Scritto da\" \/>\n\t<meta name=\"twitter:data1\" content=\"Squadra di Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo di lettura stimato\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\"},\"author\":{\"name\":\"Squadra di Mathority\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8\"},\"headline\":\"Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?\",\"datePublished\":\"2023-07-06T04:57:25+00:00\",\"dateModified\":\"2023-07-06T04:57:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\"},\"wordCount\":173,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/it\/#organization\"},\"articleSection\":[\"Matrice inversa\"],\"inLanguage\":\"it-IT\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\",\"url\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\",\"name\":\"Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/it\/#website\"},\"datePublished\":\"2023-07-06T04:57:25+00:00\",\"dateModified\":\"2023-07-06T04:57:25+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#breadcrumb\"},\"inLanguage\":\"it-IT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/it\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/it\/#website\",\"url\":\"https:\/\/mathority.org\/it\/\",\"name\":\"Mathority\",\"description\":\"Dove la curiosit\u00e0 incontra il calcolo!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/it\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/it\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"it-IT\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/it\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/it\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"it-IT\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8\",\"name\":\"Squadra di Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"it-IT\",\"@id\":\"https:\/\/mathority.org\/it\/#\/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\":\"Squadra di Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/it\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0","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\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/","og_locale":"it_IT","og_type":"article","og_title":"Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0","og_description":"La matrice unitaria, detta anche matrice identit\u00e0, \u00e8 una matrice invertibile. Anche se pu\u00f2 sembrare una matrice molto semplice perch\u00e9 \u00e8 piena solo di 0 e 1, questo tipo di matrice pu\u00f2 anche essere invertita. Infatti, l&#8217;inverso della matrice Unit\u00e0 o Identit\u00e0 \u00e8 essa stessa : Se vuoi sapere esattamente come si calcola, puoi consultare &hellip; Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0? Leggi altro &raquo;","og_url":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/","article_published_time":"2023-07-06T04:57:25+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c222a6ea3f9dc73a624fdb45de76b84_l3.png"}],"author":"Squadra di Mathority","twitter_card":"summary_large_image","twitter_misc":{"Scritto da":"Squadra di Mathority","Tempo di lettura stimato":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/"},"author":{"name":"Squadra di Mathority","@id":"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8"},"headline":"Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?","datePublished":"2023-07-06T04:57:25+00:00","dateModified":"2023-07-06T04:57:25+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/"},"wordCount":173,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/it\/#organization"},"articleSection":["Matrice inversa"],"inLanguage":"it-IT","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/","url":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/","name":"Qual \u00e8 la matrice inversa della matrice Unit\u00e0 o Identit\u00e0? -Matoriet\u00e0","isPartOf":{"@id":"https:\/\/mathority.org\/it\/#website"},"datePublished":"2023-07-06T04:57:25+00:00","dateModified":"2023-07-06T04:57:25+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#breadcrumb"},"inLanguage":"it-IT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/it\/qual-e-la-matrice-inversa-della-matrice-unitaria-o-identita\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/it\/"},{"@type":"ListItem","position":2,"name":"Qual \u00e8 la matrice inversa della matrice unit\u00e0 o identit\u00e0?"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/it\/#website","url":"https:\/\/mathority.org\/it\/","name":"Mathority","description":"Dove la curiosit\u00e0 incontra il calcolo!","publisher":{"@id":"https:\/\/mathority.org\/it\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/it\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"it-IT"},{"@type":"Organization","@id":"https:\/\/mathority.org\/it\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/it\/","logo":{"@type":"ImageObject","inLanguage":"it-IT","@id":"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/it\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/it\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/it\/#\/schema\/person\/8d6f69ffbe48aea8b43675a9a3ddb9c8","name":"Squadra di Mathority","image":{"@type":"ImageObject","inLanguage":"it-IT","@id":"https:\/\/mathority.org\/it\/#\/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":"Squadra di Mathority"},"sameAs":["http:\/\/mathority.org\/it"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts\/336","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/comments?post=336"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/posts\/336\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/media?parent=336"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/categories?post=336"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/it\/wp-json\/wp\/v2\/tags?post=336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}