1. Recall that the image of the elementary vectors e; determines column i. Find the matrix th represents the given transformation. (a) T T: R² → R² where e₁ + [2] (b) T: R² R³ where e₁ (c) T: R² R² where T( [ > T([212₂] = [ T¶ (d) T: R² R³ where T( and e₂ → 1 2 and e₂ → 3 3 [³] (3) - 3 1 5 ₁ + 3x₂ 2x1 + 1x₂ I₁ + 3x₂ 2x₁ + 1₂ 3x1 + 5x2 ]

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