Let B = {(1, 3), (2, 2)} and B= {(12, 0), (4, 4)}be bases

Chapter 6, Problem 6.4.13

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Let B = {(1, 3), (2, 2)} and B= {(12, 0), (4, 4)}be bases for R2, and letA = [3024]be the matrix for T: R2R2 relative to B.(a) Find the transition matrix P from B to B.(b) Use the matrices P and A to find [v]B and [T(v)]B,where [v]B = [1 2]T.(c) Find P1 and A (the matrix for T relative to B).(d) Find [T(v)]B two ways.

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