Question: Let B = {(1, 3), (2, 2)} and B' = {(12, 0), (4, 4)} be bases for R2, and let [32] be the matrix for

Let B = {(1, 3), (2, 2)} and B' = {(12, 0), (4, 4)} be bases for R2, and let \"[32] be the matrix for T: R2 > R2 relative to B. (a) Find the transition matrix P from B' to B. n; r till X (b) Use the matrices P and A to find [v]B and [T(v)]3, where ['43 = [1 -2]T- [V13 = Q d u' [T(V)]B = I:] ll ll (c) Find P'1 and A' (the matrix for T relative to B'). :ll:l :l|:l4 an ll 191 - ll \f

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