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

Chapter 6, Problem 6-7.18

(choose chapter or problem)

Let B = {(1, 0), (0, 1)} and B = {(1, 1), (1, 2)} be bases for R2.(a) Find the matrix A of T: R2R2, T(x, y) = (x 2y, x + 4y), relative to thebasis B.(b) Find the transition matrix P from B to B.(c) Find the matrix A of T relative to the basis B.(d) Find [T(v)]B when [v]B = [ 32].(e) Verify your answer in part (d) by finding [v]B and [T(v)]B.

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