Question: Consider the 3 x 3 matrix First verify by direct computation that A 2 = 3A. Then conclude that A n+1 = 3 n A

Consider the 3 x 3 matrix


A = 2-1 -1 -1 2 -1 -1 2 -1


First verify by direct computation that A2 = 3A. Then conclude that An+1 = 3nA for every positive integer n.

A = 2-1 -1 -1 2 -1 -1 2 -1

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