{"id":5811,"date":"2024-11-22T11:02:42","date_gmt":"2024-11-22T17:02:42","guid":{"rendered":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/?page_id=5811"},"modified":"2024-11-22T11:02:42","modified_gmt":"2024-11-22T17:02:42","slug":"mn3f","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-3\/mn3f\/","title":{"rendered":"mn3f  Inversa de una matriz"},"content":{"rendered":"\n<p>Una variante para obtener la soluci\u00f3n a un sistema de ecuaciones lineales consiste en hallar la inversa de la matriz de coeficientes junto con la matriz identidad. <\/p>\n\n\n\n<p>Para ejemplificarlo utilizaremos el m\u00e9todo de Gauss Jordan.<\/p>\n\n\n\n<p>Sea el sistema<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"194\" height=\"85\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-108.png\" alt=\"\" class=\"wp-image-5892\" \/><\/figure><\/div>\n\n\n<p>Generar una matriz con los coeficientes, la matriz identidad y el vector de t\u00e9rminos independientes<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"312\" height=\"87\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-109.png\" alt=\"\" class=\"wp-image-5893\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-109.png 312w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-109-300x84.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/figure><\/div>\n\n\n<p>A trav\u00e9s de operaciones algebraicas con cada rengl\u00f3n que la primera parte de la matriz contenga la forma de la matriz identidad. <\/p>\n\n\n\n<p><strong>Procedimiento<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"762\" height=\"320\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-110.png\" alt=\"\" class=\"wp-image-5894\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-110.png 762w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-110-300x126.png 300w\" sizes=\"(max-width: 762px) 100vw, 762px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"747\" height=\"333\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-111.png\" alt=\"\" class=\"wp-image-5895\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-111.png 747w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-111-300x134.png 300w\" sizes=\"(max-width: 747px) 100vw, 747px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"771\" height=\"160\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-112.png\" alt=\"\" class=\"wp-image-5896\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-112.png 771w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-112-300x62.png 300w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-112-768x159.png 768w\" sizes=\"(max-width: 771px) 100vw, 771px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"577\" height=\"333\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-113.png\" alt=\"\" class=\"wp-image-5897\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-113.png 577w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-113-300x173.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/figure>\n\n\n\n<p>C\u00e1lculos en Excel<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"682\" height=\"362\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-114.png\" alt=\"\" class=\"wp-image-5902\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-114.png 682w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-114-300x159.png 300w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/><\/figure>\n\n\n\n<p>En 9 operaciones se llega a la soluci\u00f3n, se obtiene la inversa y la soluci\u00f3n al sistema.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"is-content-justification-center is-layout-flex wp-container-1 wp-block-buttons\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-3\/\">regresar<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Una variante para obtener la soluci\u00f3n a un sistema de ecuaciones lineales consiste en hallar la inversa de la matriz de coeficientes junto con la matriz identidad. Para ejemplificarlo utilizaremos el m\u00e9todo de Gauss Jordan. Sea el sistema Generar una matriz con los coeficientes, la matriz identidad y el vector de t\u00e9rminos independientes A trav\u00e9s &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-3\/mn3f\/\" class=\"more-link\">Contin\u00faa leyendo <span class=\"screen-reader-text\">mn3f  Inversa de una matriz<\/span><\/a><\/p>\n","protected":false},"author":123458,"featured_media":0,"parent":436,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5811"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/users\/123458"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/comments?post=5811"}],"version-history":[{"count":3,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5811\/revisions"}],"predecessor-version":[{"id":5904,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5811\/revisions\/5904"}],"up":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/436"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/media?parent=5811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}