Let B = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R³, and let 1 2 A = P = N2NENT 4 [V] B -1 be the matrix for T: R3 R3 relative to B. 2 a) Find the transition matrix P from B' to B. = 1 [T(V)]B = 1 2 (b) Use the matrices P and A to find [v] and [T(v)]B, where [v] [-1 1 0]T. 1 11

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A: The complete solutions are given below