{"id":3121,"date":"2014-03-04T13:15:09","date_gmt":"2014-03-04T18:15:09","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/icm00794\/?p=3121"},"modified":"2026-04-05T06:42:56","modified_gmt":"2026-04-05T11:42:56","slug":"1eva2004ti_t4-verificar-matriz-simetrica","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/fp-1eva10\/1eva2004ti_t4-verificar-matriz-simetrica\/","title":{"rendered":"1Eva2004TI_T4 Verificar matriz sim\u00e9trica"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\" id=\"1EvaIT2004\">Parcial I T\u00e9rmino 2004 \u2013 2005. Julio 06, 2004 \/ICM00794<\/h2>\n\n\n\n<p><strong>Tema 4<\/strong>. (25 puntos) Se dice que una matriz cuadrada <strong>A<\/strong> de orden <strong>n<\/strong> es sim\u00e9trica, si se cumple que:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td rowspan=\"4\">\u2200 i, \u2200j<br>(a<sub>ij<\/sub> = a<sub>ji<\/sub>)<br>1 \u2264 i \u2264n<br>1 \u2264 j \u2264n<\/td><td>1<\/td><td>2<\/td><td>3<\/td><td>4<\/td><\/tr><tr><td>2<\/td><td>1<\/td><td>5<\/td><td>6<\/td><\/tr><tr><td>&nbsp;3<\/td><td>5<\/td><td>1<\/td><td>7<\/td><\/tr><tr><td>4<\/td><td>6<\/td><td>7<\/td><td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Escriba un algoritmo que permita ingresar los elementos de una matriz <strong>A<\/strong> con un orden <strong>n<\/strong>\u226410 y verifique si la matriz es sim\u00e9trica.<\/p>\n\n\n\n<p>La matriz presentada es sim\u00e9trica respecto a la diagonal, es decir matriz[f,c] = matriz[c.f]<\/p>\n\n\n\n<p><em><strong>Nota<\/strong><\/em>: s\u00edmbolo \u2200 \"Para todo\"<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code><span style=\"color: #d35400\">import<\/span> numpy <span style=\"color: #d35400\">as<\/span> np\nmatriz = &#091;&#091;1,<em><strong>2<\/strong><\/em>,3,4],\n          &#091;<em><strong>2<\/strong><\/em>,1,5,6],\n          &#091;3,5,1,7],\n          &#091;4,6,7,1]]\n\nmatriz = np.array(matriz,dtype=float)<\/code><\/pre>\n\n\n\n<p>El resultado deber\u00eda mostrar:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\"Es sim\u00e9trica\"\n&gt;&gt;&gt;<\/code><\/pre>\n\n\n\n<p>Si usa la matriz:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>matriz = &#091;&#091;1,<em><strong>4<\/strong><\/em>,3,2],\n          &#091;<em><strong>2<\/strong><\/em>,1,5,6],\n          &#091;3,5,1,7],\n          &#091;4,6,7,1]]\n\nmatriz = np.array(matriz,dtype=float)<\/code><\/pre>\n\n\n\n<p>el resultado ser\u00e1:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\"No es sim\u00e9trica\"<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Parcial I T\u00e9rmino 2004 \u2013 2005. Julio 06, 2004 \/ICM00794 Tema 4. (25 puntos) Se dice que una matriz cuadrada A de orden n es sim\u00e9trica, si se cumple que: \u2200 i, \u2200j(aij = aji)1 \u2264 i \u2264n1 \u2264 j \u2264n 1 2 3 4 2 1 5 6 &nbsp;3 5 1 7 4 6 [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-fp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[113],"tags":[148],"class_list":["post-3121","post","type-post","status-publish","format-standard","hentry","category-fp-1eva10","tag-arreglos-matrices"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3121","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=3121"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3121\/revisions"}],"predecessor-version":[{"id":16350,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3121\/revisions\/16350"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}