{"id":681,"date":"2017-12-08T18:35:31","date_gmt":"2017-12-08T23:35:31","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=681"},"modified":"2025-12-13T10:46:53","modified_gmt":"2025-12-13T15:46:53","slug":"3eva2008tii_t2_mn-sistema-de-ecuaciones","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva10\/3eva2008tii_t2_mn-sistema-de-ecuaciones\/","title":{"rendered":"3Eva2008TII_T2_MN Sistema de ecuaciones"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2008-2009. 3\/Marzo\/2009. ICM02188 M\u00e9todos Num\u00e9ricos<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (30 puntos) Dado el sistema de ecuaciones lineales AX=B:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> A = [a_{i,j}], B = [b_i] <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> a_{i,j} = \\frac{1}{i+j-1}, <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> b_i = i^{2} <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">1\\leq i,j\\leq 3 <\/span>\n\n\n\n<p>a. Determine el nivel de mal condicionamiento de A con la definici\u00f3n:<\/p>\n\n\n\n<p class=\"has-text-align-center\">cond(A) = ||A|| ||A<sup>-1<\/sup>||<\/p>\n\n\n\n<p>b. Obtenga el vector soluci\u00f3n <strong>X<\/strong> e indique si esta soluci\u00f3n es confiable.<\/p>\n\n\n\n<p>Use el m\u00e9todo de <em>Gauss-Jordan<\/em> partiendo de la matriz aumentada, A|B|I. Al transformar la matriz A en I, las transformaciones aplicadas simult\u00e1neamente al vector B, lo convertir\u00e1n en la soluci\u00f3n. El proceso tambi\u00e9n afecta a la matriz I que se convierte en&nbsp;A<sup>-1<\/sup> .<\/p>\n\n\n\n<p>Use 4 decimales sin redondear en sus c\u00e1lculos.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2008-2009. 3\/Marzo\/2009. ICM02188 M\u00e9todos Num\u00e9ricos Tema 2. (30 puntos) Dado el sistema de ecuaciones lineales AX=B: a. Determine el nivel de mal condicionamiento de A con la definici\u00f3n: cond(A) = ||A|| ||A-1|| b. Obtenga el vector soluci\u00f3n X e indique si esta soluci\u00f3n es confiable. Use el m\u00e9todo de Gauss-Jordan partiendo [&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":[25],"tags":[61],"class_list":["post-681","post","type-post","status-publish","format-standard","hentry","category-mn-3eva10","tag-matriciales-directos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/681","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=681"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/681\/revisions"}],"predecessor-version":[{"id":17767,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/681\/revisions\/17767"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}