If A and B are n n matrices, show that: (a) AB = BA if and

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If A and B are n × n matrices, show that:
(a) AB = BA if and only if
(A + B)2 = A2 + 2AB + B2.
(b) AB = BA if and only if
(A + B)(A - B) = (A - B)(A + B).

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:26 AM

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If A and B are n n matrices, show that: (a) AB = BA if and

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b We always have A BA B A 2 BA AB B 2 If AB BA this ...View the full answer

Linear Algebra With Applications

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