Question: 10. (10 Points) Let A be a (real) n x n matrix. Show, using the definition of the norm, that xT AT Ax = |

10. (10 Points) Let A be a (real) n x n matrix. Show, using the definition of the norm, that xT AT Ax = | |Ax| |2 for all x E Rn. Show that if A is an eigenvalue of AT A, then > > 0

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