Kunze Linear Algebra · Problem 3.1.4

Linear Transformations

Mathematics — Methods · existence-linear-transformation

Problem

Is there a linear transformation TT from R3R^3 into R2R^2 such that T(1,−1,1)=(1,0)T(1, -1, 1) = (1, 0) and T(1,1,1)=(0,1)T(1, 1, 1) = (0, 1)?

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