{"id":3029,"date":"2018-11-27T08:48:31","date_gmt":"2018-11-27T13:48:31","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=3029"},"modified":"2026-04-05T05:38:06","modified_gmt":"2026-04-05T10:38:06","slug":"1eva2018tii_t3-interpolar-sistema-ecuaciones","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2018tii_t3-interpolar-sistema-ecuaciones\/","title":{"rendered":"1Eva2018TII_T3 Interpolar con sistema de ecuaciones"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 10\/Noviembre\/2018. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. Encuentre el polinomio:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">p_2(x) = b_0 + b_1x + b_2 x^2 <\/span>\n\n\n\n<p>tal que se ajuste a tres puntos de y(x) para x = 1.0, 1.5 y 2.1 de la tabla presentada.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><th>x<\/th><td>1.0<\/td><td>1.1<\/td><td>1.3<\/td><td>1.5<\/td><td>1.9<\/td><td>2.1<\/td><\/tr><tr><th>y(x)<\/th><td>1.84<\/td><td>1.90<\/td><td>2.10<\/td><td>2.28<\/td><td>2.91<\/td><td>3.28<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"441\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2018\/11\/1Eva2018TII_T3_InterpolarSistemaEcuacionesGrf01.png\" alt=\"1Eva2018TII_T3 Interpolar Sistema Ecuaciones Grf01\" class=\"wp-image-21774\" \/><\/figure>\n\n\n\n<p>Resuelva planteando el sistema de ecuaciones para generar el polinomio de interpolaci\u00f3n.<\/p>\n\n\n\n<p>a) Plantee el sistema Ax=B resultante con las variables b<sub>0<\/sub>, b<sub>1<\/sub>, b<sub>2<\/sub><\/p>\n\n\n\n<p>b) Calcule ||T<sub>j<\/sub>||<sub>\u221e<\/sub>&nbsp; y comente<\/p>\n\n\n\n<p>c) Encuentre el n\u00famero de condici\u00f3n <br>K(A) =||A||<sub>\u221e<\/sub>||A<sup>-1<\/sup>||<sub>\u221e<\/sub>\u00a0 y comente<\/p>\n\n\n\n<p>d) Resuelva el sistema de ecuaciones con el m\u00e9todo de eliminaci\u00f3n de Gauss<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>xi = &#091;1.0,  1.1,  1.3,  1.5,  1.9,  2.1 ]\nyi = &#091;1.84, 1.90, 2.10, 2.28, 2.91, 3.28]\ncuales = &#091;0, 3, 5]<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 10\/Noviembre\/2018. MATG1013 Tema 3. Encuentre el polinomio: tal que se ajuste a tres puntos de y(x) para x = 1.0, 1.5 y 2.1 de la tabla presentada. x 1.0 1.1 1.3 1.5 1.9 2.1 y(x) 1.84 1.90 2.10 2.28 2.91 3.28 Resuelva planteando el sistema de ecuaciones para generar el [&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":[60],"class_list":["post-3029","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-interpolacion-polinomica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3029","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=3029"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3029\/revisions"}],"predecessor-version":[{"id":21775,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3029\/revisions\/21775"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}