{"id":3027,"date":"2023-07-19T13:59:53","date_gmt":"2023-07-19T13:59:53","guid":{"rendered":"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/"},"modified":"2023-07-19T13:59:53","modified_gmt":"2023-07-19T13:59:53","slug":"matriz-singular-python-numpy-linalg","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/","title":{"rendered":"Como corrigir: numpy.linalg.linalgerror: matriz singular"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um erro que voc\u00ea pode encontrar em Python \u00e9:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>numpy.linalg.LinAlgError: Singular matrix\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Este erro ocorre quando voc\u00ea tenta inverter uma matriz singular, que por defini\u00e7\u00e3o \u00e9 uma matriz cujo determinante \u00e9 zero e n\u00e3o pode ser invertida.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial explica como resolver esse erro na pr\u00e1tica.<\/span><\/p>\n<h3> <strong>Como reproduzir o erro<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que criemos a seguinte matriz usando NumPy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<\/span>\n#create 2x2 matrix\n<span style=\"color: #000000;\">my_matrix = np. <span style=\"color: #3366ff;\">array<\/span> ([[1., 1.], [1., 1.]])\n<\/span>\n#display matrix\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">print<\/span> (my_matrix)\n\n[[1. 1.]\n [1. 1.]]<\/span><\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Agora suponha que tentemos usar a fun\u00e7\u00e3o <strong>inv()<\/strong> do NumPy para calcular o inverso da matriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> numpy <span style=\"color: #008000;\">import<\/span> inv<\/span>\n\n#attempt to invert matrix\n<span style=\"color: #000000;\">inv(my_matrix)\n\nnumpy.linalg.LinAlgError: Singular matrix<\/span><\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Recebemos um erro porque a matriz que criamos n\u00e3o possui uma matriz inversa.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nota<\/strong> : Confira <a href=\"https:\/\/mathworld.wolfram.com\/SingularMatrix.html\" target=\"_blank\" rel=\"noopener\">esta p\u00e1gina<\/a> do Wolfram MathWorld que mostra 10 exemplos diferentes de matrizes que n\u00e3o possuem uma matriz inversa.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por defini\u00e7\u00e3o, uma matriz \u00e9 singular e n\u00e3o pode ser invertida se tiver determinante zero.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Voc\u00ea pode usar a fun\u00e7\u00e3o <strong>det()<\/strong> do NumPy para calcular o determinante de uma determinada matriz antes de tentar invert\u00ea-la:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">from<\/span> numpy <span style=\"color: #008000;\">import<\/span> det\n\n<span style=\"color: #008080;\">#calculate determinant of matrix\n<\/span>det(my_matrix)\n\n0.0\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">O determinante da nossa matriz \u00e9 zero, o que explica porque encontramos um erro.<\/span><\/p>\n<h3> <strong>Como corrigir o erro<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A \u00fanica maneira de contornar esse erro \u00e9 simplesmente criar uma matriz que n\u00e3o seja singular.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que usemos a fun\u00e7\u00e3o <strong>inv()<\/strong> para inverter a seguinte matriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> numpy. <span style=\"color: #3366ff;\">linalg<\/span> <span style=\"color: #008000;\">import<\/span> inv, det\n\n<span style=\"color: #008080;\">#create 2x2 matrix that is not singular\n<\/span>my_matrix = np. <span style=\"color: #3366ff;\">array<\/span> ([[1., 7.], [4., 2.]])\n\n<span style=\"color: #008080;\">#display matrix\n<\/span><span style=\"color: #008000;\">print<\/span> (my_matrix)\n\n[[1. 7.]\n [4. 2.]]\n\n<span style=\"color: #008080;\">#calculate determinant of matrix\n<\/span><span style=\"color: #008000;\">print<\/span> (det(my_matrix))\n\n-25.9999999993\n\n<span style=\"color: #008080;\">#calculate inverse of matrix\n<\/span><span style=\"color: #008000;\">print<\/span> (inv(my_matrix))\n\n[[-0.07692308 0.26923077]\n [0.15384615 -0.03846154]]\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">N\u00e3o recebemos erros ao inverter a matriz porque a matriz n\u00e3o \u00e9 singular.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como corrigir outros erros comuns em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/o-objeto-numpy-float64-nao-pode-ser-chamado-de-erro\/\" target=\"_blank\" rel=\"noopener\">Como corrigir: o objeto &#8216;numpy.float64&#8217; n\u00e3o pode ser chamado<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/o-objeto-numpy-ndarray-nao-pode-ser-chamado\/\" target=\"_blank\" rel=\"noopener\">Como corrigir: o objeto &#8216;numpy.ndarray&#8217; n\u00e3o pode ser chamado<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/o-objeto-numpy-float64-nao-pode-ser-interpretado-como-um-numero-inteiro\/\" target=\"_blank\" rel=\"noopener\">Como corrigir: o objeto &#8216;numpy.float64&#8217; n\u00e3o pode ser interpretado como um n\u00famero inteiro<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um erro que voc\u00ea pode encontrar em Python \u00e9: numpy.linalg.LinAlgError: Singular matrix Este erro ocorre quando voc\u00ea tenta inverter uma matriz singular, que por defini\u00e7\u00e3o \u00e9 uma matriz cujo determinante \u00e9 zero e n\u00e3o pode ser invertida. Este tutorial explica como resolver esse erro na pr\u00e1tica. Como reproduzir o erro Suponha que criemos a seguinte [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3027","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como corrigir: numpy.linalg.LinAlgError: matriz singular \u2013 Estatoriais<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como corrigir o seguinte erro em Python: numpy.linalg.LinAlgError: Singular array.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como corrigir: numpy.linalg.LinAlgError: matriz singular \u2013 Estatoriais\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como corrigir o seguinte erro em Python: numpy.linalg.LinAlgError: Singular array.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T13:59:53+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/\",\"url\":\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/\",\"name\":\"Como corrigir: numpy.linalg.LinAlgError: matriz singular \u2013 Estatoriais\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-19T13:59:53+00:00\",\"dateModified\":\"2023-07-19T13:59:53+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como corrigir o seguinte erro em Python: numpy.linalg.LinAlgError: Singular array.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/matriz-singular-python-numpy-linalg\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como corrigir: numpy.linalg.linalgerror: matriz singular\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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