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(3 points) Suppose A is an eigenvalue of A. Prove the following: (a) A2 is an eigenvalue of A2. (b) If A is invertible. then A'1 is an eigenvalue of...
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(3 points) Suppose A is an eigenvalue of A. Prove the following: (a) A2 is an eigenvalue of A2.(b) If A is invertible. then A‘1 is an eigenvalue of A4.(c) A + c is an eigenvalue of A + (:1, where c is a constant. (d) A and AT have the same eigenvalues.