{"id":10001,"date":"2022-02-08T23:41:02","date_gmt":"2022-02-08T18:11:02","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10001"},"modified":"2022-02-08T23:41:04","modified_gmt":"2022-02-08T18:11:04","slug":"upper-triangular-matrix-definition-and-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/upper-triangular-matrix-definition-and-examples\/","title":{"rendered":"Upper Triangular Matrix – Definition and Examples"},"content":{"rendered":"

Here you will learn what is the upper triangular matrix definition with examples.<\/p>\n

Let’s begin –<\/p>\n

Upper Triangular Matrix<\/h2>\n

Definition<\/strong> :<\/p>\n

A square matrix<\/a> A = \\([a_{ij}]\\) is called an upper triangular matrix if \\(a_{ij}\\) = 0 for all\u00a0 i > j.<\/p>\n

Thus, in an upper triangular matrix, all elements below the main diagonal are zero.<\/p><\/blockquote>\n

Also Read<\/strong> : Different Types of Matrices \u2013 Definitions and Examples<\/a><\/p>\n

Examples :<\/h2>\n

1).<\/strong> \\(\\begin{bmatrix} 1 & 2 & 3 \\\\ 0 &\u00a0 4 & 5 \\\\ 0 & 0 &\u00a0 6\u00a0 \\end{bmatrix}\\) is a upper triangular matrix.<\/p>\n

The order of above matrix is \\(3 \\times 3\\).<\/p>\n

2).<\/strong> \\(\\begin{bmatrix} 1 & 2 \\\\ 0 &\u00a0 3 \\end{bmatrix}\\) is a upper triangular matrix.<\/p>\n

The order of above matrix is \\(2 \\times 2\\).<\/p>\n

3).<\/strong> \\(\\begin{bmatrix} 1 & 2 & 3 & 4 \\\\ 0 &\u00a0 5 & 1 & 3 \\\\ 0 & 0 &\u00a0 2 & 9 \\\\ 0 & 0 & 0 & 5\u00a0 \\end{bmatrix}\\) is a upper triangular matrix.<\/p>\n

The order of above matrix is \\(4 \\times 4\\).<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the upper triangular matrix definition with examples. Let’s begin – Upper Triangular Matrix Definition : A square matrix A = \\([a_{ij}]\\) is called an upper triangular matrix if \\(a_{ij}\\) = 0 for all\u00a0 i > j. Thus, in an upper triangular matrix, all elements below the main diagonal are …<\/p>\n

Upper Triangular Matrix – Definition and Examples<\/span> Read More »<\/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":"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":[34],"tags":[881,880],"yoast_head":"\nUpper Triangular Matrix - Definition and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the upper triangular matrix definition with examples.\" \/>\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\/upper-triangular-matrix-definition-and-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Upper Triangular Matrix - 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