Two 2 x 2 matrices, A and B, whose product is the multiplicative identity matrix are said

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Two 2 x 2 matrices, A and B, whose product is the multiplicative identity matrix are said to be multiplicative inverses. That is, if A x B = B x A = I, then A and B are multiplicative inverses. In parts (a) and (b) below, show that matrices A and B are multiplicative inverses.

(a)

1 27 5 -2 A = -2 B = 2 5

(b)

3 [7 A = 1 -3 B = -2 7.

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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