{"id":762,"date":"2017-11-10T16:05:41","date_gmt":"2017-11-10T21:05:41","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=762"},"modified":"2025-12-03T04:15:05","modified_gmt":"2025-12-03T09:15:05","slug":"1eva2010tii_t2-sistema-ecuaciones-x0-unos","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva10\/1eva2010tii_t2-sistema-ecuaciones-x0-unos\/","title":{"rendered":"1Eva2010TII_T2 Sistema ecuaciones, X0 = unos"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 7\/Diciembre\/2010. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. Considere el sistema <strong>AX<\/strong> = <strong>B<\/strong> dado por:<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\begin {cases} 0.4 x + 1.1 y +3.1z = 7.5 \\\\ 4x + 0.15y + 0.25z = 4.45\\\\ 2x+5.6y+3.1z=0.1\\end{cases} <\/span>\n\n\n\n<p>a. De ser posible, manipule el sistema de tal forma que se garantice la convergencia del m\u00e9todo de Gauss-Seidel. <\/p>\n\n\n\n<p>b. Determine la norma de la matriz T.<\/p>\n\n\n\n<p>c. Determine la soluci\u00f3n con \u00e9ste m\u00e9todo usando el vector inicial (1,1,1) y con tolerancia de 10<sup>-4<\/sup>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>A = &#091;&#091;0.4, 1.1 ,  3.1],\n     &#091;4.0, 0.15, 0.25],\n     &#091;2.0, 5.6 , 3.1]]\nB = &#091;7.5, 4.45, 0.1]\ntolera = 1e-4\niteramax = 100<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 7\/Diciembre\/2010. ICM00158 Tema 2. Considere el sistema AX = B dado por: a. De ser posible, manipule el sistema de tal forma que se garantice la convergencia del m\u00e9todo de Gauss-Seidel. b. Determine la norma de la matriz T. c. Determine la soluci\u00f3n con \u00e9ste m\u00e9todo usando el vector inicial [&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":[9],"tags":[62],"class_list":["post-762","post","type-post","status-publish","format-standard","hentry","category-mn-1eva10","tag-matriciales-iterativos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/762","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=762"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/762\/revisions"}],"predecessor-version":[{"id":13963,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/762\/revisions\/13963"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=762"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=762"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=762"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}