If n is a nonnegative integer andA and B are square matrices of the same size such that
Chapter 2, Problem 19(choose chapter or problem)
If n is a nonnegative integer andA and B are square matrices of the same size such that AB = BA, prove that (AB ) n = An B n . By constructing an example, show that this identity does not hold in general for all square matrices of the same size.
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