To determine To show: That ( A − 1 ) − 1 = A for the matrix A = [ 4 3 3 2 ] Explanation Given that, the matrix is A = [ 4 3 3 2 ] . Obtain the inverse of the matrix A − 1 as follows. The formula for the inverse of 2 × 2 matrix is given by, 1 D [ d − b − c a ] . Compute the determinant D for the matrix of the form A = [ a b c d ] as, det A = a d − b c = 8 − 9 = − 1 Substitute –1 for D in 1 D [ d − b − c a ] as, A − 1 = 1 − 1 [ 2 − 3 − 3 4 ] = [ − 2 3 3 − 4 ] Thus, the inverse of the given matrix is A − 1 = [ − 2 3 3 − 4 ]

College Mathematics for Business, Economics, Life Sciences, and Social Sciences + Mylab Math With Pearson Etext Title-specific Access Card:

14th Edition

ISBN: 9780134862613

Author: Barnett, Raymond A.

Publisher: Pearson College Div

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Chapter 4.5, Problem 69E

To determine

To show: That (A−1)−1=A for the matrix A=[4332]

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Chapter 4.5, Problem 68E

Chapter 4.5, Problem 70E

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College Mathematics for Business, Economics, Life Sciences, and Social Sciences + Mylab Math With Pearson Etext Title-specific Access Card:

Ch. 4.1 - Solve by graphing and check: 2x − y = −3 x + 2y =...Ch. 4.1 - Solve each of the following systems by graphing: x...Ch. 4.1 - Prob. 3MP Ch. 4.1 - Prob. 4MP Ch. 4.1 - Prob. 5MP Ch. 4.1 - Prob. 6MP Ch. 4.1 - Prob. 7MP Ch. 4.1 - Prob. 1ED Ch. 4.1 - Prob. 2ED Ch. 4.1 - In Problems 1–6, find the x and y coordinates of...

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