{"id":750,"date":"2020-08-05T21:55:41","date_gmt":"2020-08-05T21:55:41","guid":{"rendered":"https:\/\/ricovictor.com\/?p=750"},"modified":"2020-08-05T21:55:44","modified_gmt":"2020-08-05T21:55:44","slug":"determinantes-y-matriz-inversa","status":"publish","type":"post","link":"https:\/\/ricovictor.com\/index.php\/2020\/08\/05\/determinantes-y-matriz-inversa\/","title":{"rendered":"Determinantes y Matriz Inversa"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"750\" class=\"elementor elementor-750\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2954a43 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2954a43\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dfe4773\" data-id=\"dfe4773\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5123e14 elementor-widget elementor-widget-text-editor\" data-id=\"5123e14\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p class=\"_04xlpA direction-ltr align-start para-style-body\"><span class=\"JsGRdQ\">La funci\u00f3n <b>determinante<\/b> de una <a href=\"https:\/\/ricovictor.com\/index.php\/2020\/07\/09\/matrices-matematicas-en-r-definicion-y-tipos\/\">matriz<\/a> es una herramienta muy importante que nos permite clasificar los sistemas de ecuaciones lineales seg\u00fan sus soluciones (Teorema de Rouch\u00e9-Frobenius).<\/span><\/p><p><span class=\"JsGRdQ\">En Matem\u00e1ticas se define el\u00a0<\/span><span class=\"JsGRdQ\">determinante<\/span><span class=\"JsGRdQ\">\u00a0como una\u00a0forma <strong>multilineal<\/strong> alternada\u00a0sobre un\u00a0<b>espacio vectorial.<\/b><\/span><\/p><p class=\"_04xlpA direction-ltr align-start para-style-body\"><span class=\"JsGRdQ\">Los determinantes son esenciales cuando queremos encontrar la matriz<strong> inversa<\/strong>, que es un tipo de matriz muy usada dentro de los modelos <a href=\"https:\/\/ricovictor.com\/index.php\/category\/econometria\/\">econom\u00e9tricos<\/a> y en \u00e1lgebra en general.<\/span><\/p><p>Para poder <strong>aprender<\/strong> sobre los determinantes y la matriz inversa he creado dos tutoriales explicando m\u00e1s detalladamente todo el tema. Adem\u00e1s de hacer <strong>ejemplos en R<\/strong> de todo lo visto. Justo bajo los v\u00eddeos en este post dejo tambi\u00e9n el c\u00f3digo para que puedas aprovecharlo.<\/p><p class=\"_04xlpA direction-ltr align-start para-style-body\">\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6e80b38 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"6e80b38\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-down\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c0ca49b elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"c0ca49b\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d6af92 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6d6af92\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6b40dc1\" data-id=\"6b40dc1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e74fbd4 elementor-widget elementor-widget-video\" data-id=\"e74fbd4\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=fmKNzqq_s8Y&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2bf8fe5\" data-id=\"2bf8fe5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f89ce86 elementor-widget elementor-widget-video\" data-id=\"f89ce86\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=YNArT-YnEs8&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cc2619e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cc2619e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5052a6b\" data-id=\"5052a6b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c35337d elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"c35337d\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6a99eef elementor-widget elementor-widget-text-editor\" data-id=\"6a99eef\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>C\u00d3DIGO EN R DEL V\u00cdDEO<\/strong><\/p><p><br \/><strong>#### VIDEO DETERMINANTES \/ ADJUNTA E INVERSA<\/strong><\/p><p><br \/><strong>library(quantmod)<\/strong><\/p><p><strong>library(\u00abtseries\u00bb)<\/strong><\/p><p><br \/><strong>######### DETERMINANTES EN R #<\/strong><\/p><p><strong># 1 Creamos una matriz<\/strong><\/p><p><strong>getFX(c(\u00abEUR\/USD\u00bb,\u00bbGBP\/USD\u00bb,\u00bbEUR\/GBP\u00bb))<\/strong><\/p><p><strong>correlacion&lt;- cbind(EURUSD,GBPUSD,EURGBP)<\/strong><\/p><p><strong>cor(correlacion)<\/strong><\/p><p><strong>d_c&lt;- matrix(cor(correlacion),3,3) # construir matriz<\/strong><br \/><strong>d_c<\/strong><\/p><p><br \/><strong>#det ## Funci\u00f3n det para c\u00e1lculo de los determinantes<\/strong><br \/><strong>det(d_c)<\/strong><\/p><p><br \/><strong>prueba&lt;- matrix(1:4,2,2)<\/strong><br \/><strong>prueba<\/strong><\/p><p><strong>#4 -6 = -2<\/strong><\/p><p><strong>## deter 4 &#8211; 6 = -2<\/strong><\/p><p><strong>det(prueba)<\/strong><\/p><p><strong>## C\u00c1LCULO DE LA INVERSA EN R<\/strong><\/p><p><strong>##ejemplo del video<\/strong><\/p><p><strong>#1crear amtriz 2*2<\/strong><\/p><p><strong>A&lt;- rbind(c(1,1),c(1,2))<\/strong><br \/><strong>B&lt;- rbind(c(2,-1),c(-1,1))<\/strong><br \/><strong>A<\/strong><br \/><strong>B<\/strong><\/p><p><strong>A %*% B<\/strong><\/p><p><br \/><strong>## matriz inversa directamente con R<\/strong><\/p><p><strong># Funci\u00f3n Solve<\/strong><\/p><p><strong>#A*Inversa= I<\/strong><br \/><strong>solve(A)<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>La funci\u00f3n determinante de una matriz es una herramienta muy importante que nos permite clasificar los sistemas de ecuaciones lineales seg\u00fan sus soluciones (Teorema de Rouch\u00e9-Frobenius). En Matem\u00e1ticas se define el&nbsp;determinante&nbsp;como una&nbsp;forma multilineal alternada&nbsp;sobre un&nbsp;espacio vectorial. Los determinantes son esenciales cuando queremos encontrar la matriz inversa, que es un tipo de matriz muy usada dentro &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/ricovictor.com\/index.php\/2020\/08\/05\/determinantes-y-matriz-inversa\/\"> <span class=\"screen-reader-text\">Determinantes y Matriz Inversa<\/span> Leer m\u00e1s &raquo;<\/a><\/p>\n","protected":false},"author":19,"featured_media":689,"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":"","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[21,2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Determinantes y Matriz Inversa - V\u00edctor A. Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas<\/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:\/\/ricovictor.com\/index.php\/2020\/08\/05\/determinantes-y-matriz-inversa\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Determinantes y Matriz Inversa - V\u00edctor A. Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas\" \/>\n<meta property=\"og:description\" content=\"La funci\u00f3n determinante de una matriz es una herramienta muy importante que nos permite clasificar los sistemas de ecuaciones lineales seg\u00fan sus soluciones (Teorema de Rouch\u00e9-Frobenius). En Matem\u00e1ticas se define el&nbsp;determinante&nbsp;como una&nbsp;forma multilineal alternada&nbsp;sobre un&nbsp;espacio vectorial. 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Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas","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:\/\/ricovictor.com\/index.php\/2020\/08\/05\/determinantes-y-matriz-inversa\/","og_locale":"es_ES","og_type":"article","og_title":"Determinantes y Matriz Inversa - V\u00edctor A. Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas","og_description":"La funci\u00f3n determinante de una matriz es una herramienta muy importante que nos permite clasificar los sistemas de ecuaciones lineales seg\u00fan sus soluciones (Teorema de Rouch\u00e9-Frobenius). En Matem\u00e1ticas se define el&nbsp;determinante&nbsp;como una&nbsp;forma multilineal alternada&nbsp;sobre un&nbsp;espacio vectorial. Los determinantes son esenciales cuando queremos encontrar la matriz inversa, que es un tipo de matriz muy usada dentro &hellip; Determinantes y Matriz Inversa Leer m\u00e1s &raquo;","og_url":"https:\/\/ricovictor.com\/index.php\/2020\/08\/05\/determinantes-y-matriz-inversa\/","og_site_name":"V\u00edctor A. 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