Question: Let B = {(1, 2), (-1, -1)} and B' = {(-4, 1), (0, 2)} be bases for R2, and let 4 = 0 - 1

Let B = {(1, 2), (-1, -1)} and B' = {(-4, 1), (0, 2)} be bases for R2, and let 4 = 0 - 1 be the matrix for T: R2 -> R2 relative to B. (a) Find the transition matrix P from B' to B. P = 15 (b) Use the matrices P and A to find [v] and [T(v)], where [V]B' = [4 -2]'. [T(V)]B = (c) Find P-1 and A' (the matrix for 7 relative to B'). p-1 = 1 A'= (d) Find [T(v)]B' two ways. [T(V)]B' = P-[T(V)]B [T(V)]B' = A'TV]B' = IT

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