Question: 5. Let A be an n X n matrix. (a) (4 points) Let 1 be a real number which is an eigenvalue of A. Show

5. Let A be an n X n matrix. (a) (4 points) Let 1 be a real number which is an eigenvalue of A. Show that if m > 0 and Am = I, then 1 = +1.Question 5 continues... (b) (6 points) Assume that A is a symmetric matrix. Show that if m > 0 and Am = I, then A2 =

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