{"id":285,"date":"2023-07-06T20:34:06","date_gmt":"2023-07-06T20:34:06","guid":{"rendered":"https:\/\/mathority.org\/pt\/determinantes-3x3-exemplos-de-regras-sarrus-e-exercicios-resolvidos\/"},"modified":"2023-07-06T20:34:06","modified_gmt":"2023-07-06T20:34:06","slug":"determinantes-3x3-exemplos-de-regras-sarrus-e-exercicios-resolvidos","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/determinantes-3x3-exemplos-de-regras-sarrus-e-exercicios-resolvidos\/","title":{"rendered":"Calcule o determinante de uma matriz 3&#215;3 com a regra de sarrus"},"content":{"rendered":"<p>Nesta p\u00e1gina voc\u00ea aprender\u00e1 o que \u00e9 o determinante de uma matriz quadrada 3&#215;3. Voc\u00ea ver\u00e1 como resolver os determinantes de ordem 3 usando a regra de Sarrus. E, al\u00e9m disso, voc\u00ea tem exemplos e exerc\u00edcios resolvidos passo a passo, para que possa praticar e entender perfeitamente.<\/p>\n<p><strong><\/strong><\/p>\n<h2 class=\"wp-block-heading\"> Qual \u00e9 o determinante de uma matriz 3\u00d73? <\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p> Um <strong>determinante de ordem<\/strong> 3 \u00e9 uma matriz de dimens\u00e3o 3\u00d73 <strong>representada por uma barra vertical em cada lado da matriz.<\/strong> Por exemplo, se tivermos a seguinte matriz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b5e89b706893e88dd15882e3685afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} 2 &amp; 0 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 5 \\\\[1.1ex] 1 &amp; 6 &amp; -2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> O <strong>determinante da matriz A<\/strong> \u00e9 representado da seguinte forma:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41db04327de87a80f1e0e4dd6dcb220a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert A \\rvert = \\begin{vmatrix} 2 &amp; 0 &amp; 4 \\\\[1.1ex] 3 &amp; -1 &amp; 5 \\\\[1.1ex] 1 &amp; 6 &amp; -2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Como voc\u00ea viu, escrever o determinante de uma matriz quadrada de ordem 3 \u00e9 f\u00e1cil. Agora vamos ver como resolver isso:<\/p>\n<h2 class=\"wp-block-heading\"> Como calcular um determinante de ordem 3?<\/h2>\n<p><strong><\/strong><\/p>\n<p> Para fazer os determinantes de matrizes 3\u00d73 voc\u00ea deve aplicar <strong>a regra de Sarrus<\/strong> :<\/p>\n<h2 class=\"wp-block-heading\"> Regra de Sarrus<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"> <strong>A regra de Sarrus<\/strong> diz que para calcular um determinante de ordem 3, devemos somar o produto dos elementos da diagonal maior e o produto de suas diagonais paralelas com seus v\u00e9rtices opostos correspondentes, depois subtrair o produto dos elementos da diagonal menor e o produto de suas diagonais paralelas com seus v\u00e9rtices opostos correspondentes. <\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-110\"><\/div>\n<\/div>\n<p> Escrito assim, pode ser um pouco dif\u00edcil de entender, mas veja como \u00e9 feito o c\u00e1lculo dos determinantes 3&#215;3 com o seguinte diagrama e exemplos: <\/p>\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/regle-de-sarrus.webp\" alt=\"\" class=\"wp-image-1550\" width=\"686\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-le-determinant-dune-matrice-32153.webp\" alt=\"\" width=\"776\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"> Exemplos de determinantes 3\u00d73:<\/h2>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98e60cf465cd0eb7662d47770cd38231_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\begin{vmatrix} 2 &amp; 1 &amp; 3 \\\\[1.1ex] -1 &amp; 1 &amp; 0 \\\\[1.1ex] -2 &amp; 4 &amp; 1 \\end{vmatrix} &amp; = 2 \\cdot 1 \\cdot 1 + 1 \\cdot 0 \\cdot (-2) + (-1) \\cdot 4 \\cdot 3 - (-2) \\cdot 1 \\cdot 3 - 4 \\cdot 0 \\cdot 2- (-1) \\cdot 1 \\cdot 1 \\\\ &amp; = 2 + 0 -12 +6 - 0 +1 \\\\[2ex] &amp; = \\bm{-3} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"637\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a53c1fd6eae1b51a280a6ce1e2ab91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\begin{vmatrix} 1 &amp; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 1 \\\\[1.1ex] 4 &amp; -3 &amp; -1 \\end{vmatrix} &amp; = 1\\cdot 2 \\cdot (-1) + 0 \\cdot 1 \\cdot 4 +3 \\cdot (-3) \\cdot 2 - 4 \\cdot 2 \\cdot 2 - (-3) \\cdot 1 \\cdot 1- 3 \\cdot 0 \\cdot (-1) \\\\ &amp; = -2 +0 -18 - 16 +3- 0 \\\\[2ex] &amp; = \\bm{-33} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"651\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">Problemas resolvidos de determinantes de matrizes 3 \u00d7 3<\/h2>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 1<\/h3>\n<p> Resolva o seguinte determinante 3&#215;3: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-travaille-determinant-32153.webp\" alt=\"Exemplo concreto do determinante de uma matriz 3x3\" width=\"103\" height=\"110\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para resolver o determinante de uma matriz 3\u00d73 devemos aplicar a regra de Sarrus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f288312b72f3bbabc35ee64bf580d8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 2 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; 1 &amp; -1 \\\\[1.1ex] 2 &amp; 0 &amp; 4 \\end{vmatrix} &amp; = 2 \\cdot 1 \\cdot 4 + 1 \\cdot (-1) \\cdot 2 + 3 \\cdot 0 \\cdot 0 - 2 \\cdot 1 \\cdot 0 - 0 \\cdot (-1) \\cdot 2- 3 \\cdot 1 \\cdot 4 \\\\ &amp; = 8 -2 +0 -0- 0-12 \\\\[2ex] &amp; = \\bm{-6} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"583\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Exerc\u00edcio 2<\/h3>\n<p> Calcule o seguinte determinante de ordem 3: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/determinant-dexercice-resolu-32153.webp\" alt=\"exerc\u00edcio resolvido passo a passo do determinante de uma matriz 3x3\" width=\"103\" height=\"110\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para calcular o determinante de uma matriz de terceira ordem, devemos usar a regra de Sarrus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64078968233ec50d2e793309d55e55fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 1 &amp; -2 &amp; 1 \\\\[1.1ex] 4 &amp; 2 &amp; 1 \\\\[1.1ex] 3 &amp; -1 &amp; 2 \\end{vmatrix} &amp; = 1 \\cdot 2 \\cdot 2 + (-2) \\cdot 1 \\cdot 3 + 4 \\cdot (-1) \\cdot 1 - 3 \\cdot 2 \\cdot 1 - (-1) \\cdot 1 \\cdot 1 - 4 \\cdot (-2) \\cdot 2 \\\\ &amp; = 4 -6 -4 -6+1+16 \\\\[2ex] &amp; = \\bm{5} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"637\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-111\"><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 3<\/h3>\n<p> Encontre a solu\u00e7\u00e3o para o determinante da seguinte matriz 3\u00d73: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-determinants-33.webp\" alt=\"exerc\u00edcios resolvidos passo a passo para determinantes de matrizes 3x3\" width=\"139\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para fazer um determinante de uma matriz 3&#215;3, devemos usar a regra de Sarrus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd4494ae66a604834b8f9f47fcbbe41d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix}1 &amp; 3 &amp; -2 \\\\[1.1ex] 2 &amp; -3 &amp; 4 \\\\[1.1ex] -1 &amp; 2 &amp; 5 \\end{vmatrix} &amp; = \\\\ &amp; = 1 \\cdot (-3) \\cdot 5 + 3 \\cdot 4 \\cdot (-1) + 2 \\cdot 2 \\cdot (-2) \\ - \\\\[1.1ex] &amp; \\phantom{=} - (-1) \\cdot (-3) \\cdot (-2) - 2 \\cdot 4 \\cdot 1 - 2 \\cdot 3 \\cdot 5 \\\\[2.5ex] &amp; = -15 -12 -8 +6-8-30 \\\\[2.5ex] &amp; = \\bm{-67} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"435\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Exerc\u00edcio 4<\/h3>\n<p> Encontre a solu\u00e7\u00e3o para o determinante da seguinte matriz de ordem 3: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-dun-determinant-dune-matrice-33.webp\" alt=\"Exerc\u00edcio resolvido de um determinante de uma matriz 3x3\" width=\"122\" height=\"113\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para encontrar a solu\u00e7\u00e3o de um determinante de uma matriz 3\u00d73 devemos aplicar a f\u00f3rmula de Sarrus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e811024d460a60a1df59983b1f700e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned} \\begin{vmatrix} 3 &amp; 1 &amp; -1 \\\\[1.1ex] 6 &amp; 1 &amp; -2 \\\\[1.1ex] 4 &amp; -3 &amp; 2 \\end{vmatrix} &amp; = \\\\ &amp; = 3 \\cdot 1 \\cdot 2 + 1 \\cdot (-2) \\cdot 4 + 6 \\cdot (-3) \\cdot (-1) \\ - \\\\[1.1ex] &amp; \\phantom{=} - 4 \\cdot 1 \\cdot (-1) - (-3) \\cdot (-2) \\cdot 3 - 6 \\cdot 1 \\cdot 2 \\\\[2.5ex] &amp; =6 -8 +18 +4-18-12 \\\\[2.5ex] &amp; = \\bm{-10} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Exerc\u00edcio 5<\/h3>\n<p> encontre o valor de<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> que cancela o seguinte determinante de terceira ordem: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-determinants-dordre-3.webp\" alt=\"exerc\u00edcios resolvidos passo a passo para determinantes de ordem 3\" width=\"121\" height=\"109\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Calculamos primeiro, com a regra de Sarrus, o valor do determinante em fun\u00e7\u00e3o de <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5d80bc6266288d3d9b79acb4281f64b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a :\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07e67cfc5e45c0a11c35d643cd4c1c78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}\\begin{vmatrix} 4 &amp; 6 &amp; -5 \\\\[1.1ex] -2 &amp; 4 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; a \\end{vmatrix} &amp; = \\\\ &amp; = 4 \\cdot 4 \\cdot a + 6 \\cdot 2 \\cdot (-1) + (-2) \\cdot 2 \\cdot (-5) \\ - \\\\[1.1ex] &amp; \\phantom{=}- (-1) \\cdot 4 \\cdot (-5) - 2 \\cdot 2 \\cdot 4 - (-2) \\cdot 6 \\cdot a \\\\[2.5ex] &amp; = 16a -12 + 20 - 20 - 16 +12a \\\\[2.5ex] &amp; = 28a -28 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"235\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Para que o determinante desapare\u00e7a, o resultado deve ser 0. Portanto, igualamos o resultado a 0 e resolvemos a equa\u00e7\u00e3o: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-952115a30fff34de20c4ecde3bbb4b15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"28a-28=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"99\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32cfa3a6788c4564b2807c4dbe65b59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"28a=28\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"69\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b25a023b34312f26158baa4e03bd6e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{28}{28} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"84\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-116\"><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nesta p\u00e1gina voc\u00ea aprender\u00e1 o que \u00e9 o determinante de uma matriz quadrada 3&#215;3. Voc\u00ea ver\u00e1 como resolver os determinantes de ordem 3 usando a regra de Sarrus. E, al\u00e9m disso, voc\u00ea tem exemplos e exerc\u00edcios resolvidos passo a passo, para que possa praticar e entender perfeitamente. Qual \u00e9 o determinante de uma matriz 3\u00d73? &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/determinantes-3x3-exemplos-de-regras-sarrus-e-exercicios-resolvidos\/\"> <span class=\"screen-reader-text\">Calcule o determinante de uma matriz 3&#215;3 com a regra de sarrus<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[12],"tags":[],"class_list":["post-285","post","type-post","status-publish","format-standard","hentry","category-determinante-de-uma-matriz"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Calcule o determinante de uma matriz 3x3 com a regra de Sarrus - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/pt\/determinantes-3x3-exemplos-de-regras-sarrus-e-exercicios-resolvidos\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Calcule o determinante de uma matriz 3x3 com a regra de Sarrus - Mathority\" \/>\n<meta property=\"og:description\" content=\"Nesta p\u00e1gina voc\u00ea aprender\u00e1 o que \u00e9 o determinante de uma matriz quadrada 3&#215;3. Voc\u00ea ver\u00e1 como resolver os determinantes de ordem 3 usando a regra de Sarrus. E, al\u00e9m disso, voc\u00ea tem exemplos e exerc\u00edcios resolvidos passo a passo, para que possa praticar e entender perfeitamente. 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