Question: 2 U [l 11. (12 MARKS) Let A = 1 2 1 l U l (c) Find an invertible matrix P and a diagonal matrix

2 U [l 11. (12 MARKS) Let A = 1 2 1 l U l (c)
2 U [l 11. (12 MARKS) Let A = 1 2 1 l U l (c) Find an invertible matrix P and a diagonal matrix D such that that P'lAP = D. (32) Find P-l. (c) Use your answers to parts (a) and (b) to compute A5. [Note that if you compute A5 by computing the product A - A - A - A - A, then you will get zero Inarks to (13)]

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