p(0) p(1) p(2) 7. Let the linear transformation T : P2 → R³ be defined by T(p(x)) = and let %3D B = {1,x,x²} and D = 0 0 Show that MpB(T) = 1 1 1 and deduce that T is an isomorphism. %3D 1 2 4 1 |= 2, implying that MpB(T) is invertible. Therefore, T 1 Solution. det MDB(T) = det 2 4 is an isomorphism.

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