Question: Problem 3 Let V and W be vector spaces over a field F. Let B = {v1, ..., Un} be an ordered basis of V

Problem 3 Let V and W be vector spaces over a field F. Let B = {v1, ..., Un} be an ordered basis of V and y = {w1, ..., Wm} be an ordered basis of W. Recall that C(V, W) is the vector space of linear transformations from V to W. Prove that the function C(V, W) + Mmxn(F), T - [T]g (taking a linear transformation to its matrix representation) is an isomorphism. Proof

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