Let {e1, e2, e3, e4} be the standard basis for R4, and let T: R4 R3

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Let {e1, e2, e3, e4} be the standard basis for R4, and let T: R4 → R3 be the linear transformation for which
T(e1) = (1, 2, 1), T(e2) = (0, 1, 0),
T(e3) = (1, 3, 0), T(e4) = (1, 1, 1),
Find bases for the range and kernel of T.
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