Given a basis T = {[ 1 0 0 1 ] , [1 1 0 −1] , [0 0 1 1 ] , [0 0 −1 1 ]} for M2×2, (a) find [~v]T for ~v = [1 −1 7 4 ] (b) find ~u such that [~u]T = [−2 −1 3 0]

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Q: Verify that (AB)T = BTAT.

A: Now,