Question: In each case, find a linear transformation with the given properties and compute T(v). a. T : R' - R3; T(1, 2) = (1, 0,

In each case, find a linear transformation with the given properties and compute T(v). a. T : R' - R3; T(1, 2) = (1, 0, 1), T( -1, 0) = (0, 1, 1); v = (2, 1) b. T : R' - R3; T(2, -1) = (1, -1, 1), T(1, 1) = (0, 1, 0); v = (-1, 2) c. T : P2 - P3; T(x) = x, T(x+1) =0, T(x- 1 )= *;v=x+x+1

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