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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Find the inverse of the following matrix: [31-13] - Business Mathematics and Statistics

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Question

Find the inverse of the following matrix:

`[(3,1),(-1,3)]`

Sum
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Solution

Let A = `[(3,1),(-1,3)]`

∴ |A| = 9 + 1 = 5

adj A = `[(3,-1),(1,3)]`

`"A"^-1 = 1/|"A"|` adj A = `1/10[(3,-1),(1,3)]`

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Chapter 1: Matrices and Determinants - Exercise 1.2 [Page 12]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 1 Matrices and Determinants
Exercise 1.2 | Q 3. (ii) | Page 12
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