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Let V and W be vector spaces and let / and I be bases for V and W respectively. Further suppose that Dim(V) = n

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Let V and W be vector spaces and let / and I be bases for V and W respectively. Further suppose that Dim(V) = n and Dim(W) = m. Prove that the space of linear maps, C(V, W), is isomorphic to M(m xn, R), the space of rectangular matrices of size m x n with real coefficients

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