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1. (6 pt) Prove that for all x E R, A E Rnxn we have x] Ax = xTATx. 2. (5 pt) Let A E

1. (6 pt) Prove that for all x E R", A E Rnxn we have x] Ax = xTATx. 2. (5 pt) Let A E Rnx", and x, b E R" and define f : Rn - R as f(x) = x Ab Compute Vxf (x)

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