{"id":9997,"date":"2022-02-08T23:40:06","date_gmt":"2022-02-08T18:10:06","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9997"},"modified":"2022-02-08T23:40:10","modified_gmt":"2022-02-08T18:10:10","slug":"identity-or-unit-matrix-definition-and-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/identity-or-unit-matrix-definition-and-examples\/","title":{"rendered":"Identity or Unit Matrix – Definition and Examples"},"content":{"rendered":"

Here you will learn what is the identity or unit matrix definition with examples.<\/p>\n

Let’s begin –<\/p>\n

Identity or Unit Matrix<\/h2>\n

Definition<\/strong> : A square matrix<\/a> A = \\([a_{ij}]_{n\\times n}\\) is called a identity or unit matrix if<\/p>\n

(i) \\(a_{ij}\\) = 0 for all i \\(\\ne\\) j and,<\/p>\n

(ii) \\(a_{ii}\\) = 1, for all i<\/p><\/blockquote>\n

In other words, a diagonal matrix<\/a> in which all the diagonal elements is unity is called the unit matrix.<\/p>\n

The identity matrix of order n is denoted by \\(I_n\\).<\/p>\n

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

Examples :<\/h2>\n

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

The order of above matrix is \\(3 \\times 3\\) and it is denoted by \\(I_3\\).<\/p>\n

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

The order of above matrix is \\(2 \\times 2\\) and it is denoted by \\(I_2\\).<\/p>\n

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

The order of above matrix is \\(4 \\times 4\\) and it is denoted by \\(I_4\\).<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the identity or unit matrix definition with examples. Let’s begin – Identity or Unit Matrix Definition : A square matrix A = \\([a_{ij}]_{n\\times n}\\) is called a identity or unit matrix if (i) \\(a_{ij}\\) = 0 for all i \\(\\ne\\) j and, (ii) \\(a_{ii}\\) = 1, for all i …<\/p>\n

Identity or Unit 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":[877,876],"yoast_head":"\nIdentity or Unit Matrix - Definition and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the identity or unit matrix definition and order of identity matrix 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\/identity-or-unit-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=\"Identity or Unit Matrix - 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