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

Chapter 8, Problem 5

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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) (a) Find bases for the range and kernel of T . (b) Find the rank and nullity of T .

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