Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)} and B' = {(1,...

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Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R3, and let 1 -1 2 3 2 A = 2 2 1 1 2 be the matrix for T: R3 → R3 relative to B. (b) Use the matrices P and A to find [v]B and [T(v)]B, where [v]B = [1 -1 o]T. 1 1 [v]B = 2 -1 [T(v)]B 2 Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R3, and let 1 -1 2 3 2 A = 2 2 1 1 2 be the matrix for T: R3 → R3 relative to B. (b) Use the matrices P and A to find [v]B and [T(v)]B, where [v]B = [1 -1 o]T. 1 1 [v]B = 2 -1 [T(v)]B 2