3×3 determinant formula<\/a>,<\/p>\n\\(\\implies\\) | A | = \\(3\\begin{vmatrix} 2 & 1 \\\\ 1 & -1 \\end{vmatrix}\\) – \\((-2)\\begin{vmatrix} 1 & 1 \\\\ 0 & -1 \\end{vmatrix}\\) + \\(4\\begin{vmatrix} 1 & 2 \\\\ 0 & 1 \\end{vmatrix}\\)<\/p>\n
\\(\\implies\\) | A | = 3(-2 – 1) + 2(-1 – 0) + 4(1 – 0)<\/p>\n
= -9 – 2 + 4 = -7<\/p>\n","protected":false},"excerpt":{"rendered":"
Solution : | A | = \\(\\begin{vmatrix} 3 & -2 & 4 \\\\ 1 & 2 & 1 \\\\ 0 & 1 & -1 \\end{vmatrix}\\) By using 3×3 determinant formula, \\(\\implies\\) | A | = \\(3\\begin{vmatrix} 2 & 1 \\\\ 1 & -1 \\end{vmatrix}\\) – \\((-2)\\begin{vmatrix} 1 & 1 \\\\ 0 & -1 \\end{vmatrix}\\) + …<\/p>\n
Find the determinant of A = \\(\\begin{bmatrix} 3 & -2 & 4 \\\\ 1 & 2 & 1 \\\\ 0 & 1 & -1 \\end{bmatrix}\\).<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":""},"categories":[223,43],"tags":[],"yoast_head":"\nFind the determinant of A = \\(\\begin{bmatrix} 3 & -2 & 4 \\\\ 1 & 2 & 1 \\\\ 0 & 1 & -1 \\end{bmatrix}\\).<\/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:\/\/mathemerize.com\/find-the-determinant-of-a-beginbmatrix-3-2-4-1-2-1-0-1-1-endbmatrix\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the determinant of A = \\(\\begin{bmatrix} 3 & -2 & 4 \\\\ 1 & 2 & 1 \\\\ 0 & 1 & -1 \\end{bmatrix}\\).\" \/>\n<meta property=\"og:description\" content=\"Solution : | A | = (begin{vmatrix} 3 & -2 & 4 \\ 1 & 2 & 1 \\ 0 & 1 & -1 end{vmatrix}) By using 3×3 determinant formula, (implies) | A | = (3begin{vmatrix} 2 & 1 \\ 1 & -1 end{vmatrix}) – ((-2)begin{vmatrix} 1 & 1 \\ 0 & -1 end{vmatrix}) + … Find the determinant of A = (begin{bmatrix} 3 & -2 & 4 \\ 1 & 2 & 1 \\ 0 & 1 & -1 end{bmatrix}). 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