Question: Let A and B be m x n matrices. (a) Suppose that vTAw = vT B w for all vectors v, w. Prove that A

Let A and B be m x n matrices.
(a) Suppose that vTAw = vT B w for all vectors v, w. Prove that A = B.
(b) Give an example of two matrices such that vT A v = vT B v for all vectors v, but A ≠ B.

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