{"id":676,"date":"2012-04-07T16:07:42","date_gmt":"2012-04-07T15:07:42","guid":{"rendered":"http:\/\/nosolomates.es\/?page_id=676"},"modified":"2013-04-30T10:56:42","modified_gmt":"2013-04-30T08:56:42","slug":"sistemas-de-3-ecuaciones","status":"publish","type":"page","link":"http:\/\/nosolomates.es\/?page_id=676","title":{"rendered":"Sistemas de 3 ecuaciones"},"content":{"rendered":"<p>Herramienta para resolver sistemas de tres ecuaciones con tres inc\u00f3gnitas, como por ejemplo:<\/p>\n<p><center><img decoding=\"async\" src=\"web\/imagenes\/sistema3.gif\"><\/center><\/p>\n<p>Introduce los coeficientes en las cajas y pulsa &#8220;Resolver&#8221;.<\/p>\n<p><center><\/p>\n<div id=\"utilidades\"><h7><iframe loading=\"lazy\" src=\"web\/sistema3.htm\" width=\"470\" height=\"280\" scrolling=\"auto\" frameborder=\"0\"><\/p>\n<p>Texto alternativo para browsers que no aceptan iframes.<\/p>\n<p>    <\/iframe><\/h7><\/div>\n<p><\/center><br \/>\n<\/p>\n<h1>Explicaci\u00f3n:<\/h1>\n<p>Una de las formas de resolver un sistema de 3 ecuaciones con 3 inc\u00f3gnitas es la regla de Cramer, que ya vimos para <a href=\"?page_id=674\" target=\"_blank\">sistemas de dos ecuaciones<\/a>. Aplicado a sistemas de 3 o m\u00e1s ecuaciones, este m\u00e9todo, solo v\u00e1lido para sistemas compatibles determinados, es decir, con una sola soluci\u00f3n, nos dice que la soluci\u00f3n x<sub>i<\/sub> es igual al determinante que resulta de sustituir la columna i de la matriz del sistema por la matriz de los t\u00e9rminos independientes b<sub>i<\/sub>, dividido por el determinante de la matriz del sistema. As\u00ed, dado el sistema:<\/p>\n<p><center><img decoding=\"async\" src=\"web\/imagenes\/sistema3a.gif\"><\/center><\/p>\n<p>la matriz del sistema y la matriz de los t\u00e9rminos independientes son, respectivamente:<\/p>\n<p><center><img decoding=\"async\" src=\"web\/imagenes\/matriz.gif\"><\/center>\n<\/p>\n<p>Segun la regla de Cramer, las soluciones de este sistema, siempre que sea compatible determinado, son:<\/p>\n<p><center><img decoding=\"async\" src=\"web\/imagenes\/solucioness.gif\"><\/center><\/p>\n<div><\/br>&nbsp;<\/div>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-official sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-facebook\"><div class=\"fb-share-button\" data-href=\"http:\/\/nosolomates.es\/?page_id=676\" data-layout=\"button_count\"><\/div><\/li><li class=\"share-twitter\"><a href=\"https:\/\/twitter.com\/share\" class=\"twitter-share-button\" data-url=\"http:\/\/nosolomates.es\/?page_id=676\" data-text=\"Sistemas de 3 ecuaciones\"  >Tweet<\/a><\/li><li class=\"share-linkedin\"><div class=\"linkedin_button\"><script type=\"in\/share\" data-url=\"http:\/\/nosolomates.es\/?page_id=676\" data-counter=\"right\"><\/script><\/div><\/li><li class=\"share-pinterest\"><div class=\"pinterest_button\"><a href=\"https:\/\/www.pinterest.com\/pin\/create\/button\/?url=http%3A%2F%2Fnosolomates.es%2F%3Fpage_id%3D676&#038;media=http%3A%2F%2F0.gravatar.com%2Favatar%2Fc9ba1828908559b850337a4baa073367%3Fs%3D96%26d%3Dmm%26r%3Dg&#038;description=Sistemas%20de%203%20ecuaciones\" data-pin-do=\"buttonPin\" data-pin-config=\"beside\"><img src=\"\/\/assets.pinterest.com\/images\/pidgets\/pinit_fg_en_rect_gray_20.png\" \/><\/a><\/div><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Herramienta para resolver sistemas de tres ecuaciones con tres inc\u00f3gnitas, como por ejemplo: Introduce los coeficientes en las cajas y pulsa &#8220;Resolver&#8221;. Texto alternativo para browsers que no aceptan iframes. Explicaci\u00f3n: Una de las formas de resolver un sistema de &hellip; <a href=\"http:\/\/nosolomates.es\/?page_id=676\">Sigue leyendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-official sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-facebook\"><div class=\"fb-share-button\" data-href=\"http:\/\/nosolomates.es\/?page_id=676\" data-layout=\"button_count\"><\/div><\/li><li class=\"share-twitter\"><a href=\"https:\/\/twitter.com\/share\" class=\"twitter-share-button\" data-url=\"http:\/\/nosolomates.es\/?page_id=676\" data-text=\"Sistemas de 3 ecuaciones\"  >Tweet<\/a><\/li><li class=\"share-linkedin\"><div class=\"linkedin_button\"><script type=\"in\/share\" data-url=\"http:\/\/nosolomates.es\/?page_id=676\" data-counter=\"right\"><\/script><\/div><\/li><li class=\"share-pinterest\"><div class=\"pinterest_button\"><a href=\"https:\/\/www.pinterest.com\/pin\/create\/button\/?url=http%3A%2F%2Fnosolomates.es%2F%3Fpage_id%3D676&#038;media=http%3A%2F%2F0.gravatar.com%2Favatar%2Fc9ba1828908559b850337a4baa073367%3Fs%3D96%26d%3Dmm%26r%3Dg&#038;description=Sistemas%20de%203%20ecuaciones\" data-pin-do=\"buttonPin\" data-pin-config=\"beside\"><img src=\"\/\/assets.pinterest.com\/images\/pidgets\/pinit_fg_en_rect_gray_20.png\" \/><\/a><\/div><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"parent":625,"menu_order":7,"comment_status":"open","ping_status":"open","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"jetpack_shortlink":"https:\/\/wp.me\/P9BfV-aU","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/676"}],"collection":[{"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/nosolomates.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=676"}],"version-history":[{"count":3,"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/676\/revisions"}],"predecessor-version":[{"id":870,"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/676\/revisions\/870"}],"up":[{"embeddable":true,"href":"http:\/\/nosolomates.es\/index.php?rest_route=\/wp\/v2\/pages\/625"}],"wp:attachment":[{"href":"http:\/\/nosolomates.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=676"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}