10. Suppose that v1, v2, V3, v4 form a basis a for a vec- tor space V and w1, w2 form a basis B for a vector space W. Suppose that T V transformation such that → W is a linear T(v1) = 2w1 - 3w2, T(v2) = -wi + 3w2, %3D T(V3) = w1 + 2w2, T(v4) = 3w2. a) Find [T]. b) Find [T(v)]g if v = 4v1 +3v2 + 2v3 + V4. c) Use the result of part (b) to find T (v) in terms of wi and w2.

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