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.

Q: Let V be a vector space, v, u € V, and let T₁ : V → V and T2 : V → V be linear transformations such…

A: Here we can use the composition of function formula to find the required values.

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A: Given f1=1+2x+3x2 and f2=2+3x+4x2. And B=f1,f2 is a basis for the subspace V=a0+a1x+a2x2|a0−2a1+a2=0…

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A: see my solutiuon

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Q: 3c

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Q: '

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A: