In each case, assume that T is a linear transformation. (a) If T: V R and T(v1)
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(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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b Because T is linear T3v 1 2v 2 3Tv 1 2Tv 2 32 23 0 d Since we know the action of T o...View the full answer
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