Question: Let A = -2 1 -2 1 be a M2x2 (R) . 1) Find A^n where n is an arbitrary positive integer and express it

Let A = -2 1 -2 1 be a M2x2 (R) . 1) Find A^n where n is an arbitrary positive integer and express it as a single matrix. 2) Explain whether lim n->inf of A^n exists.

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