Consider the following linear transformation and basis. T: R² R2, T(x, y) = (5x - 2y, x), B' = {(-2, 1), (-1, 1)) Find the standard matrix A for the linear transformation. 5 -2 A = 1 0 Find the transition matrix P from B' to the standard basis B and then find its inverse. -2 P = 1 1 -1 p-1 = 1 41 X Find the matrix A' for T relative to the basis B'. 14 -16 A' = 8 -9 11 41 1 2

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