Question: 5 1 1. Let A be a real n x n matrix such that A = AT. Show that if 1, is an eigenvalue of

5 1 1. Let A be a real n x n matrix such that A = AT. Show that if 1, is an eigenvalue of A then, then , is a real number. 12. Let A be a real n x n matrix such that A = AT. Show that if 1, and 12 are distinct eigenvalues of A then Ex, is orthogonal to E12

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