Question: Suppose that B = MAM1, where A and B are n n matrices and M is invertible. Show that Bk = MAkM1 for all

Suppose that B = MAM−1, where A and B are n × n matrices and M is invertible. Show that Bk = MAkM−1 for all positive integers k. (Consult both the text of Section 2.6 and the preamble to Exercise 18 of Section 2.6.)

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