In each case, find a linear transformation with the given properties and compute T(v).
(a) T: R2 †’ R3; T(1, 2) = (1, 0, 1), T(-l, 0) = (0, l, l); v = (2, 1)
(b) T: R2 †’ R3; T(2, -1) = (1, -1, 1), T(1, 1) = (0, 1, 0); v = (-1, 2)
(c) T: P2 †’ P3; T(x2) = x3, T(x + 1) = 0, T(x - 1) = x; v = x2 + x + 1

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