Let S be an invertible n n matrix, and let A and B be n n matrices such that B = S1AS
Chapter 2, Problem 41(choose chapter or problem)
Let S be an invertible n n matrix, and let A and B be n n matrices such that B = S1AS. (a) Show that B4 = S1A4 S. (b) Generalizing part (a), show that for any positive integer k, we have Bk = S1Ak S.
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