Answer Happy

Let B = {(1, 2), (-1, -1)} and B' = {(-4,1),(0, 2)} be bases for R2, and let 2-1 A= 1 0 be the matrix for T: R2 → R2 relative to B. (a) Find the transition matrix P from B' to B. P= (b) Use the matrices P and A to find [V] and [T(V)]B, where [V]g' = [-2 1] [V]B = 1 [T(V)]B

(c) Find p-1 and A' (the matrix for T relative to B). p-1 = A' = (d) Find (T(V)]B: two ways. [T(V)]B* = p-1[7(V)]B [T(V)]B' = A'[V]B 0 1