{"id":4889,"date":"2021-08-31T17:51:33","date_gmt":"2021-08-31T17:51:33","guid":{"rendered":"https:\/\/mathemerize.com\/?p=4889"},"modified":"2021-08-31T17:57:51","modified_gmt":"2021-08-31T17:57:51","slug":"subtraction-of-matrices","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/subtraction-of-matrices\/","title":{"rendered":"Subtraction of Matrices with Examples"},"content":{"rendered":"

Here you will learn subtraction of matrices with examples.<\/p>\n

Let’s begin –<\/p>\n

Subtraction of Matrices<\/h2>\n

Let two matrices A and B of the same order, the subtraction of matrix B from matrix A is denoted by A – B and is defined as A – B = A + (-B).<\/p>\n

Note<\/strong> : If matrices are not of same order then subtraction of matrix is not possible.<\/p>\n

Subtraction of matrices of order \\(2\\times 2\\)<\/strong><\/h4>\n

If  A = \\(\\begin{bmatrix} 2 & 1 \\\\ 0 &  2  \\end{bmatrix}\\) and B = \\(\\begin{bmatrix} 1 & 0  \\\\ 1 &  2  \\end{bmatrix}\\), then find A – B.<\/p>\n

A – B = A + (-B) = \\(\\begin{bmatrix} 2 & 1 \\\\ 0 &  2  \\end{bmatrix}\\) – \\(\\begin{bmatrix} 1 & 0  \\\\ 1 &  2  \\end{bmatrix}\\)<\/p>\n

 = \\(\\begin{bmatrix} 1 & 1  \\\\ -1 &  0  \\end{bmatrix}\\)<\/p>\n

Subtraction of matrices of order \\(3\\times 3\\)<\/strong><\/h4>\n

If  A = \\(\\begin{bmatrix} 2 & 3 & 4 \\\\ 0 &  4 & 6 \\\\ 5 & 8 & 9 \\end{bmatrix}\\) and B = \\(\\begin{bmatrix} 3 & 0 & 5  \\\\ 5 &  3 & 2 \\\\ 0 & 4 & 7 \\end{bmatrix}\\), then find 3A – 2B.<\/p>\n

We have, 3A – 2B = 3A + (-2)B<\/p>\n

\\(\\implies\\) 3A – 2B = \\(\\begin{bmatrix} 6 & 9 & 12 \\\\ 0 &  12 & 18 \\\\ 15 & 24 & 27 \\end{bmatrix}\\) -\\(\\begin{bmatrix} -6 & 0 & -10 \\\\ -10 &  -6 & -4 \\\\ 0 & -8 & -14 \\end{bmatrix}\\)<\/p>\n

 = \\(\\begin{bmatrix} 0 & 9 & 2 \\\\ -10 &  6 & 14 \\\\ 15 & 16 & 13 \\end{bmatrix}\\)<\/p>\n\n\n

Example : <\/span>If  A = \\(\\begin{bmatrix} 2 & 3 & -5 \\\\ 1 & 2 & -1 \\end{bmatrix}\\) and B = \\(\\begin{bmatrix} 0 & 5 & 1  \\\\ -2 & 7 & 3 \\end{bmatrix}\\), then find A + B and A – B.<\/p>\n

Solution : <\/span>Clearly A and B both are matrices of the same order \\(2\\times 3\\). So, A + B and A – B both are defined.

\nNow, A + B = \\(\\begin{bmatrix} 2 & 3 & -5 \\\\ 1 & 2 & -1 \\end{bmatrix}\\) + \\(\\begin{bmatrix} 0 & 5 & 1  \\\\ -2 & 7 & 3 \\end{bmatrix}\\)

\n= \\(\\begin{bmatrix} 2 & 8 & -4 \\\\ -1 & 9 & 2 \\end{bmatrix}\\)

\nand A – B = A + (-B) = \\(\\begin{bmatrix} 2 & 3 & -5 \\\\ 1 & 2 & -1 \\end{bmatrix}\\) + (-1)\\(\\begin{bmatrix} 0 & 5 & 1  \\\\ -2 & 7 & 3 \\end{bmatrix}\\)

\n= \\(\\begin{bmatrix} 2 & -2 & -6 \\\\ 3 & -5 & -4 \\end{bmatrix}\\)

<\/p>\n\n\n\n

\n
Next – Multiplication of Matrices \u2013 Examples & Definition<\/a><\/div>\n<\/div>\n\n\n\n
\n
Previous – Scalar Multiplication with Matrices<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn subtraction of matrices with examples. Let’s begin – Subtraction of Matrices Let two matrices A and B of the same order, the subtraction of matrix B from matrix A is denoted by A – B and is defined as A – B = A + (-B). Note : If matrices are not …<\/p>\n

Subtraction of Matrices with Examples<\/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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[34],"tags":[],"yoast_head":"\nSubtraction of Matrices with Examples - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn subtraction of matrices 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\/subtraction-of-matrices\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Subtraction of Matrices with Examples - 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