Let T is a linear transformation, find a matrix that implements the mapping. (a) T: R³ -> R³, is defined by T(x, y, z) = (4x + 2y, 2x + 3y + 3z, 2y + 2z). (b) T: R² -> R³, is defined by T(x, y) = (x - 2y, -x + 3y, 3x - 2y).
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