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 A= 2 2 be the matrix for T: R³ → R³ relative to B. (a) Find the transition matrix P from B' to B. P= 000 000= [1] (b) Use the matrices P and A to find [♥], and [7(v)]g, where [V]=[0-1 1]. [V]B= [T(V)]B= (c) Find P-1 and A' (the matrix for T relative to B'). A'= 000 (d) Find [T(v)]. two ways. [T(v)] = P¹[T(v)] = [T(v)] = A'[♥] = 000 000: 11

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