[3] Let A = 2 −1 0 0 -1 0 0 0 2 -1 -1 2 -1 0 -1 2 V = V1 V2 V3 V4 i.e. v is some arbitrary vector v E R4. (a) Compute the inner product (Av, v) (b) Prove that if v ‡ 0, then (Av, v) > 0, i.e. show that A is positive- definite.

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