Consider the laws of exponents Ar As = Ar+s and (Ar)s = Ars. (a) Show that if
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(a) Show that if A is any square matrix, then these laws are valid for all nonnegative integer values of r and s.
(b) Show that if A is invertible, then these laws hold for all negative integer values of r and s.
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a We have On the other hand b Suppose that r 0 and s 0 let r and s so that A r A ...View the full answer
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
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