2. Let L: R4 –→ R3 be defined by L ([u #2 uz 4]) = [u, uz + u3 uz + u4]. Let S and T be the natural bases for R4 and R3, respec- tively. Let {[! 0 0 1],[00 0 1], [1 1 0 0].[0 1 1 0]} S' and T' = {[1 1 0],[0 1 0],[1 0 1]}. %3D (a) Find the representation of L with respect to S and т.

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