Let A be an n n matrix and x Rn. Prove: (a) _Ax_ n1/2_A_2_x_ (b) _Ax_2 n1/2_A__x_2 (c)

Chapter 7, Problem 27

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Let A be an n n matrix and x Rn. Prove: (a) _Ax_ n1/2_A_2_x_ (b) _Ax_2 n1/2_A__x_2 (c) n1/2_A_2 _A_ n1/2_A_2 2

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