{"id":91,"date":"2025-11-05T16:12:12","date_gmt":"2025-11-05T19:12:12","guid":{"rendered":"https:\/\/www.ufrgs.br\/verao-mat\/?page_id=91"},"modified":"2025-11-17T04:13:50","modified_gmt":"2025-11-17T07:13:50","slug":"algebra-linear","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/verao-mat\/?page_id=91","title":{"rendered":"\u00c1lgebra Linear"},"content":{"rendered":"<h2 class=\"wp-block-post-title\">\u00c1lgebra Linear<\/h2>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-794e3cfa wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-small-font-size wp-block-paragraph\">O principal objetivo do curso \u00e9\u00a0 formalizar os conceitos e ferramentas fundamentais da \u00c1lgebra Linear, incluindo o estudo de vetores, espa\u00e7os vetoriais, transforma\u00e7\u00f5es lineares, produto interno, autovalores e autovetores. Busca-se proporcionar ao aluno a maturidade necess\u00e1ria para lidar com ideias abstratas e estruturas alg\u00e9bricas, promovendo uma base s\u00f3lida para o estudo de t\u00f3picos mais avan\u00e7ados e para aplica\u00e7\u00f5es em diversas \u00e1reas da Matem\u00e1tica e das Ci\u00eancias Exatas. Este curso tem \u00eanfase na demonstra\u00e7\u00e3o dos conceitos, n\u00e3o sendo um curso cl\u00e1ssico de \u00c1lgebra Linear oferecido para alunos das engenharias, com \u00eanfase em aspectos computacionais e exemplos. \u00c9 desej\u00e1vel j\u00e1 ter feito um curso b\u00e1sico de \u00c1lgebra Linear, apesar de n\u00e3o obrigat\u00f3rio. Tamb\u00e9m \u00e9 recomend\u00e1vel familiaridade com t\u00e9cnicas de demonstra\u00e7\u00e3o matem\u00e1tica.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"814\" src=\"https:\/\/www.ufrgs.br\/verao-mat\/wp-content\/uploads\/2025\/11\/Diagram_characterising_the_transformation_matrix-1024x814.png\" alt=\"The diagram shows the relation between the linear map f and its associated transformation matrix.\" class=\"wp-image-8\" srcset=\"https:\/\/www.ufrgs.br\/verao-mat\/wp-content\/uploads\/2025\/11\/Diagram_characterising_the_transformation_matrix-1024x814.png 1024w, https:\/\/www.ufrgs.br\/verao-mat\/wp-content\/uploads\/2025\/11\/Diagram_characterising_the_transformation_matrix-300x239.png 300w, https:\/\/www.ufrgs.br\/verao-mat\/wp-content\/uploads\/2025\/11\/Diagram_characterising_the_transformation_matrix-768x611.png 768w, https:\/\/www.ufrgs.br\/verao-mat\/wp-content\/uploads\/2025\/11\/Diagram_characterising_the_transformation_matrix.png 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"is-style-default wp-block-paragraph\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\"><strong>Conte\u00fado Program\u00e1tico<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table has-small-font-size\"><table class=\"has-fixed-layout\"><tbody><tr><td>ESPA\u00c7OS VETORIAIS<\/td><td>Revis\u00e3o de Espa\u00e7os vetoriais, subespa\u00e7os vetoriais, bases, transforma\u00e7\u00f5es lineares, composta de transforma\u00e7\u00f5es lineares, matriz de uma transforma\u00e7\u00e3o linear, n\u00facleo e imagem.<\/td><\/tr><tr><td>ESPA\u00c7OS COM PRODUTO INTERNO<\/td><td>Produtos internos, Adjunta, subespa\u00e7os invariantes, operadores auto-adjuntos, operadores ortogonais, operadores anti-sim\u00e9tricos<\/td><\/tr><tr><td>DIAGONALIZA\u00c7\u00c3O<\/td><td>Diagonaliza\u00e7\u00e3o de operadores, Espa\u00e7os vetoriais sobre\u00a0os\u00a0complexos, Forma de Jordan<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Avalia\u00e7\u00f5es:<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">Avalia\u00e7\u00e3o 01: 22 de janeiro<br>Avalia\u00e7\u00e3o 02: 13 de fevereiro<br>Recupera\u00e7\u00e3o: 27 de fevereiro<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O principal objetivo do curso \u00e9\u00a0 formalizar os conceitos e ferramentas fundamentais da \u00c1lgebra Linear, incluindo o estudo de vetores, espa\u00e7os vetoriais, transforma\u00e7\u00f5es lineares, produto interno, autovalores e autovetores. Busca-se proporcionar ao aluno a maturidade necess\u00e1ria para lidar com ideias abstratas e estruturas alg\u00e9bricas, promovendo uma base s\u00f3lida para o estudo de t\u00f3picos mais avan\u00e7ados [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":95,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-91","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/pages\/91","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=91"}],"version-history":[{"count":21,"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/pages\/91\/revisions"}],"predecessor-version":[{"id":165,"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/pages\/91\/revisions\/165"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=\/wp\/v2\/media\/95"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/verao-mat\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=91"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}