Question: 1. Let A E Rmxn, BERmx Show that the nonzero eigenvalues of AB are the same as those of BA. 2. Find the diagonal or

1. Let A E Rmxn, BERmx Show that the nonzero eigenvalues of AB are the same as those of BA. 2. Find the diagonal or Jordan canonical forms for the following matrices: 2 O 4 0 (c) 9 ON 0 3 -1 0 2 0 3. For each of the following matrices, compute eat and Ak using any method. (b) A = 11] (@) A = [2 8] 12 Lo 31 (C) A = 2 -31 C 0 01 0 0 0 (d) A=10 U (e) A = 6 -5 0 0 12 0 O O

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