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Linear Maps are Isomorphic to their Matrices

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Theorem
LinearAlgebra

Proposition (L(V,W)≅FmƗn\mathscr{L}(V,W)\cong\mathbb{F}^{m \times n})

If V,WV,W are finite dimensional vector spaces with dim(V)=ndim(V)=n and dim(W)=mdim(W)=m. Then L(V,W)≅FmƗn\mathscr{L}(V,W)\cong\mathbb{F}^{m\times n}