Explanation Given Information: The expression is A = [ 2 − 6 1 − 2 ] Formula used: Inverse of matrix A i n v ( A ) = 1 a d − b c ( d − b − c a ) Calxculation: Consider the given matrix A = [ 2 − 6 1 − 2 ] Now, By using the inverse formula we get: A − 1 = 1 | a d − b c | [ d − b − c a ] Let, a = 2 b = − 6 c = 1 d = − 2 Substitute the value to get A − 1 = 1 | a d − b c | [ d − b − c a ] A − 1 = 1 | 2 × ( − 2 ) − 1 × ( − 2 ) | [ − 2 6 − 1 2 ] = 1 ( − 4 ) − ( − 2 ) [ − 2 6 − 1 2 ] = 1 2 [ − 2 6 − 1 2 ] = [ − 1 3 − 1 2 1 ] So, therefore the inverse of matrix is A − 1 = [ − 1 3 − 1 2 1 ] Now, check the result for A A − 1 = I 2 And A −

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Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.4, Problem 16PE

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To calculate: The inverse of matrix A=[2−61−2] and also check the result.

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Chapter 8.4, Problem 15PE

Chapter 8.4, Problem 17PE

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Chapter 8 Solutions

Precalculus (6th Edition)

Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix ...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVC Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVC Ch. 8.1 - Prob. 4CVC Ch. 8.1 - Fill in each blank so that the resulting statement...

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The inverse of matrix A = [ 2 − 6 1 − 2 ] and also check the result.

Solution Summary: The author explains how to calculate the inverse of the matrix A=left[cc2& -6 1& 2

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To calculate: The inverse of matrix A=[2−61−2] and also check the result.

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Chapter 8 Solutions