Question: In each case, assume that T is a linear transformation. (a) If T: V R and T(v1) = 1, T(v2) = -1, find T(3v1 -

In each case, assume that T is a linear transformation.
(a) If T: V †’ R and T(v1) = 1, T(v2) = -1, find T(3v1 - 5v2).
(b) If T: †’ (R and T(v1) = 2, T(v2) = -3, find T(3v1 + 2v2).

(e) If T: P2 †’ P2 and T(x + 1) = at, T(x -1) = 1, T(x2) = 0, find T(2 + 3x - x2).
(f) If T: P2 †’ R and T(x + 2) = 1, T(1) = 5, T(x2 + x) = 0, find T(2 - x + 3x2).

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