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QUESTION
Let A E L(V) with A be an eigenvalue of A. (1) Show that p(1) is an eigenvalue of p(A) for any polynomial p(x). (2) If A + 0, then A-1 is an...
Solve the question based on Linear Algebra dealing with eigen values .
1. Let A E L(V) with A be an eigenvalue of A.(1) Show that p(1) is an eigenvalue of p(A) for any polynomial p(x).(2) If A + 0, then A-1 is an iegenvalue of A-1.