Let B = {(1, 0, 1), (1, 1, 0), (0, 1, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R³, and let A = 521212 -1 2 1 327272 1 1 be the matrix for T: R³ → R³ relative to B. (a) Find the transition matrix P from B' to B. P = ☐ ☐ ☐ (b) Use the matrices P and A to find [v] B and [T(V)] B, where [v]B= [011]. [V] B [T(V)]B (c) Find P-1 and A' (the matrix for T relative to B'). P-1 A' = ↓ ↑ ⇓ 1 (d) Find [T(v)] B' two ways. [T(v)]B₁ = P¹[T(V)] B 1

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