Question: Consider the vector space Rn with inner product (x. y) = xTy. For any n n matrix A, show that (a) (Ax, y) =

Consider the vector space Rn with inner product (x. y) = xTy. For any n × n matrix A, show that
(a) (Ax, y) = (x, ATy)
(b) (ATAx, x) = ||Ax||2

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