{"id":40,"date":"2026-09-16T08:30:48","date_gmt":"2026-09-16T06:30:48","guid":{"rendered":"https:\/\/curso26.jesussoto.es\/?p=40"},"modified":"2026-08-10T19:17:39","modified_gmt":"2026-08-10T17:17:39","slug":"alg-presentacion","status":"publish","type":"post","link":"https:\/\/clases.jesussoto.es\/?p=40","title":{"rendered":"ALG: Presentaci\u00f3n"},"content":{"rendered":"<p>En la presentaci\u00f3n del d\u00eda de hoy hemos visto<\/p>\n<ul>\n<li>Presentaci\u00f3n<\/li>\n<li>Objetivos de la asignatura<\/li>\n<li>Metodolog\u00eda y Evaluaci\u00f3n<\/li>\n<li>Pr\u00e1cticas<\/li>\n<li>Bibliograf\u00eda<\/li>\n<\/ul>\n<h3>Objetivos, Metodolog\u00eda y Evaluaci\u00f3n<\/h3>\n<p>Se detallan en la gu\u00eda que pod\u00e9is encontrar en la gu\u00eda del Grado.<\/p>\n<hr>\n<p><!-- A continuaci\u00f3n se necesitan los estilos propios guardados en Personalizaci\u00f3n CSS adicional --><\/p>\n<section class=\"al-aplicaciones\" aria-labelledby=\"al-titulo\">\n<div class=\"al-hero\">\n    <span class=\"al-etiqueta\">\u00c1lgebra lineal \u00b7 1.\u00ba de Inform\u00e1tica<\/span><\/p>\n<h1>Cuando las matrices hacen que la tecnolog\u00eda funcione<\/h1>\n<p>Vectores y matrices permiten representar objetos, transformar im\u00e1genes y construir modelos capaces de aprender a partir de los datos.<\/p>\n<\/p><\/div>\n<div class=\"al-idea\">\n    <strong>Una idea para recordar:<\/strong> un vector representa informaci\u00f3n, una matriz transforma esa informaci\u00f3n y un algoritmo combina esas operaciones para resolver un problema.\n  <\/div>\n<div class=\"al-grid\">\n<article class=\"al-card\">\n<div class=\"al-card-top\">\n<div class=\"al-icon\" aria-hidden=\"true\">\u25c8<\/div>\n<h2>Gr\u00e1ficos por ordenador<\/h2>\n<\/p><\/div>\n<div class=\"al-card-body\">\n<p>Cada punto de una imagen o de un videojuego puede representarse mediante un vector. Las matrices permiten girar, ampliar, reflejar y mover objetos.<\/p>\n<div class=\"al-formula\">x\u2032 = R \u00b7 x<\/div>\n<ul>\n<li>Rotaci\u00f3n de personajes y objetos.<\/li>\n<li>Animaci\u00f3n y videojuegos.<\/li>\n<li>Realidad virtual y simulaci\u00f3n 3D.<\/li>\n<\/ul>\n<p>        <span class=\"al-tag\">Vectores \u00b7 Transformaciones<\/span>\n      <\/div>\n<\/article>\n<article class=\"al-card\">\n<div class=\"al-card-top\">\n<div class=\"al-icon\" aria-hidden=\"true\">\u25a6<\/div>\n<h2>Im\u00e1genes digitales<\/h2>\n<\/p><\/div>\n<div class=\"al-card-body\">\n<p>Una imagen en escala de grises puede verse como una matriz de n\u00fameros: cada entrada representa la intensidad de un p\u00edxel.<\/p>\n<div class=\"al-formula\">A = matriz de p\u00edxeles<\/div>\n<ul>\n<li>Desenfoque y eliminaci\u00f3n de ruido.<\/li>\n<li>Detecci\u00f3n de bordes.<\/li>\n<li>Rotaci\u00f3n, escalado y compresi\u00f3n.<\/li>\n<\/ul>\n<p>        <span class=\"al-tag\">Matrices \u00b7 Filtros<\/span>\n      <\/div>\n<\/article>\n<article class=\"al-card\">\n<div class=\"al-card-top\">\n<div class=\"al-icon\" aria-hidden=\"true\">\u2301<\/div>\n<h2>Aprendizaje autom\u00e1tico<\/h2>\n<\/p><\/div>\n<div class=\"al-card-body\">\n<p>Los datos se organizan en matrices y cada individuo, imagen o documento se describe mediante un vector de caracter\u00edsticas.<\/p>\n<div class=\"al-formula\">\u0177 = X \u00b7 \u03b2<\/div>\n<ul>\n<li>Predicci\u00f3n mediante regresi\u00f3n lineal.<\/li>\n<li>Clasificaci\u00f3n de im\u00e1genes y textos.<\/li>\n<li>Reducci\u00f3n de dimensi\u00f3n mediante PCA.<\/li>\n<\/ul>\n<p>        <span class=\"al-tag\">Sistemas lineales \u00b7 PCA<\/span>\n      <\/div>\n<\/article><\/div>\n<div class=\"al-cierre\">\n<h2>La pregunta clave<\/h2>\n<p>\u00bfQu\u00e9 informaci\u00f3n podemos representar con vectores y qu\u00e9 transformaci\u00f3n matricial necesitamos para resolver el problema?<\/p>\n<\/p><\/div>\n<\/section>\n<h2>Bibliogr\u00e1fica<\/h2>\n<p>B\u00e1sica<\/p>\n<ul>\n<li>David C. L. \u00c1lgebra lineal y sus aplicaciones. 5\u00ba ed. Pearson; 2016.<\/li>\n<li>Merino Gonz\u00e1lez L., Santos Al\u00e1ez E. \u00c1lgebra lineal con m\u00e9todos elementales. 3a. ed. Madrid: Paraninfo; 2021<\/li>\n<\/ul>\n<p>Aconsejable<\/p>\n<ul>\n<li>Arvesu J. y et al. Problemas resueltos de \u00c1lgebra lineal. Thomson, 2005.<\/li>\n<li>Grossman. \u00c1lgebra Lineal. McGraw-Hill; 2008<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>En la presentaci\u00f3n del d\u00eda de hoy hemos visto Presentaci\u00f3n Objetivos de la asignatura Metodolog\u00eda y Evaluaci\u00f3n Pr\u00e1cticas Bibliograf\u00eda Objetivos, Metodolog\u00eda y Evaluaci\u00f3n Se detallan en la gu\u00eda que pod\u00e9is encontrar en&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-40","post","type-post","status-publish","format-standard","hentry","category-algebra"],"_links":{"self":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=40"}],"version-history":[{"count":7,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/40\/revisions"}],"predecessor-version":[{"id":68,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/40\/revisions\/68"}],"wp:attachment":[{"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=40"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=40"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/clases.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}