Problem 19. Let T₁ (21, 22, 23) = (x₁ + x2, x1 − 2x2) and T₂ (x₁, x2) = (3x1, x₁ +4x2). (a) Find the standard matrix for T₁ and T₂. (b) Find the standard matrix for T₁ T₂ and T₂0 T₁. (c) Use the matrices obtained in part (b) to find formulas for T₁ (T₂ (x1, x2)) and T₂ (T₁ (21, 22, 23)).

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