Consider the following linear transformation and basis. T: R2 → R2, T(X, y) = (3x – y, y – x), B' = {(1, -2), (0, 3)} Find the standard matrix A for the linear transformation. A = Find the transition matrix P from B' to the standard basis B and then find its inverse. P = p-1 Find the matrix A' for T relative to the basis B'. A' =

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