﻿{"id":114272,"date":"2020-01-29T18:19:23","date_gmt":"2020-01-29T17:19:23","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/algebralineal\/multiplicacion-matrices.html"},"modified":"2024-05-27T17:43:04","modified_gmt":"2024-05-27T15:43:04","slug":"multiplicacion-matrices","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebralineal\/multiplicacion-matrices.html","title":{"rendered":"Multiplicaci\u00f3n de matrices"},"content":{"rendered":"<section style=\"\">\n<p class=\"\">Dos matrices A y B son multiplicables si el <strong>n&uacute;mero de columnas de A<\/strong> coincide con el <strong>n&uacute;mero de filas de B<\/strong>.<\/p>\n<p class=\"actividades_2_v_ir\" style=\"\"> <strong>M<sub>m x n<\/sub>  x  M<sub>n x p <\/sub> = M <sub>m x p<\/sub><\/strong><\/p>\n<p class=\"\">\n\t\t\t\t\t\t\t\tEl elemento<strong> c<sub>ij<\/sub><\/strong> de la matriz producto se obtiene <strong>multiplicando<\/strong> cada elemento de la <strong>fila i <\/strong>de la matriz A por cada elemento de la <strong>columna j <\/strong>de la matriz B y <strong>sum&aacute;ndolos<\/strong>. <\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/multiplicaci\u00f3n-de-matrices-1.gif\" alt=\"Explicaciones y ejemplos de multiplicaci\u00f3n de matrices\"  >\t\t\t\t\t\t\t\t\t\t<\/p>\n<h3 class=\"r\">Propiedades de la multiplicaci\u00f3n de matrices<\/h3>\n<p class=\"actividades_r_ir\">Asociativa:<\/p>\n<p class=\"\"><strong>A &middot; (B &middot; C) = (A &middot; B) &middot; C<\/strong> <\/p>\n<p class=\"actividades_r_ir\">Elemento neutro:<\/p>\n<p class=\"\"><strong>A &middot; I = A<\/strong><\/p>\n<p class=\"\"> Donde <strong>I es la matriz identidad<\/strong> del mismo orden que la matriz A.<\/p>\n<p class=\"actividades_r_ir\">No es Conmutativa:<\/p>\n<p class=\"\"><strong>A &middot; B \u2260 B &middot; A<\/strong><\/p>\n<p class=\"actividades_r_ir\">Distributiva del producto respecto de la suma:<\/p>\n<p class=\"\"><strong>A &middot; (B + C) = A &middot; B + A &middot; C<\/strong><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Dos matrices A y B son multiplicables si el n&uacute;mero de columnas de A coincide con el n&uacute;mero de filas de B. Mm x n x Mn x p = M m x p El elemento cij de la matriz producto se obtiene multiplicando cada elemento de la fila i de la matriz A por [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[372],"tags":[373],"class_list":["post-114272","post","type-post","status-publish","format-standard","hentry","category-algebralineal","tag-m"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebralineal\" class=\"advgb-post-tax-term\">\u00c1lgebra lineal<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">\u00c1lgebra lineal<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebralineal\" class=\"advgb-post-tax-term\">m<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">m<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 2 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 27 mayo 2024"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 19 min","modified":"Actualizado el 27 mayo 2024 17 h 43 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/114272","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=114272"}],"version-history":[{"count":1,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/114272\/revisions"}],"predecessor-version":[{"id":136054,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/114272\/revisions\/136054"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=114272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=114272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=114272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}