{"id":379,"date":"2017-11-12T13:40:17","date_gmt":"2017-11-12T18:40:17","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=379"},"modified":"2025-12-04T08:35:45","modified_gmt":"2025-12-04T13:35:45","slug":"1eva2012ti_t3_mn-resolver-con-gauss-jordan","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2012ti_t3_mn-resolver-con-gauss-jordan\/","title":{"rendered":"1Eva2012TI_T3_MN Resolver con Gauss-Jordan"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 3\/Julio\/2012. ICM02188 M\u00e9todos Num\u00e9ricos<\/h2>\n\n\n\n<p><strong>TEMA 3<\/strong>. (35 puntos) Con los mismos datos de las matrices <strong>T<\/strong> y <strong>D<\/strong> del problema anterior, se decide resolver el sistema mediante el m\u00e9todo de Gauss-Jordan, para lo cual la ecuaci\u00f3n inicial <strong>X<\/strong> = <strong>TX<\/strong> + <strong>D<\/strong> se la reescribe en la siguiente forma:<\/p>\n\n\n\n<p class=\"has-text-align-center\">(<strong>I<\/strong> \u2013 <strong>T<\/strong>)<strong>X<\/strong> = <strong>D <\/strong><\/p>\n\n\n\n<p>en donde <strong>I<\/strong> es la matriz identidad.<\/p>\n\n\n\n<p>a) Obtenga la soluci\u00f3n transformando la matriz de coeficientes<br> <strong>I<\/strong> \u2013 <strong>T<\/strong> aumentada con el vector <strong>D<\/strong>.Adjunte adicionalmente una matriz identidad que al ser transformada simult\u00e1neamente proporcione la inversa de la matriz de coeficientes<\/p>\n\n\n\n<p>b) Calcule el n\u00famero de condici\u00f3n de la matriz de coeficientes y comente al respecto. Use la norma de fila.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 3\/Julio\/2012. ICM02188 M\u00e9todos Num\u00e9ricos TEMA 3. (35 puntos) Con los mismos datos de las matrices T y D del problema anterior, se decide resolver el sistema mediante el m\u00e9todo de Gauss-Jordan, para lo cual la ecuaci\u00f3n inicial X = TX + D se la reescribe en la siguiente forma: (I [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[61],"class_list":["post-379","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-matriciales-directos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=379"}],"version-history":[{"count":5,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/379\/revisions"}],"predecessor-version":[{"id":14086,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/379\/revisions\/14086"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}