1. Recall that the image of the elementary vectors e, determines column i. Find the matrix that represents the given transformation. (a) T: R² R2 where е₁ → → [2] (b) T: R² R³ where е₁ → (d) T: R² R³ where T( 2 23 and ez (c) T: R² R² where T T( 22₂ ) = [ X2 21 I2 [ and e₂ → ³] 5 x₁ + 3x₂ 2x1 + 4x2 x1 + 3x₂ 2x1 + 4x2 3x1 + 5x2 ]

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