Explain why each of the following algebraic rules will not work in general when the real numbers

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Explain why each of the following algebraic rules will not work in general when the real numbers a and b are replaced by n × n matrices A and B.
(a) (a + b)2 = a2 + 2ab + b2
(b) (a + b)(a - b) = a2 - b2

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:43 AM

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Explain why each of the following algebraic rules will not work in general when the real numbers

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a A B 2 A BA B A BA A BB A 2 BA AB B 2 In the case of real n...View the full answer

Linear Algebra with Applications

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