Given the matrices show that A 2 = I and B 3 = I, and hence find

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Given the matrices

A = [1000] 0010 0 1 0 0 0001 and B = [1 0 0 0] 0 0 1 0 0001 0 1 0 0

show that A² = I and B³ = I, and hence find A^–1, B^–1 and (AB)^–1.

The matrices A and B in this exercise are examples of permutation matrices. For instance, A gives

A X X X3 X4. || = [x] X3 X

and the suffices are just permuted; B has similar properties.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 11, 2024 09:02 AM

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Given the matrices show that A 2 = I and B 3 = I, and hence find

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The first two results are obtained by matrix mul...View the full answer

Modern Engineering Mathematics

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