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6. Positive Semi-definite Matrix [10 marks] Suppose A = Rnxn, AT = A, and (x, Ax) 0, Vx e Rr. Show that (z, Az)

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6. Positive Semi-definite Matrix [10 marks] Suppose A = Rnxn, AT = A, and (x, Ax) 0, Vx e Rr. Show that (z, Az) 0, Vz e

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