Question: Let f be a correspondence between vector spaces V and W (that is, a map that is one-to-one and onto). Show that the spaces V

Let f be a correspondence between vector spaces V and W (that is, a map that is one-to-one and onto). Show that the spaces V and W are isomorphic via f if and only if there are bases B ⊂ V and D ⊂ W such that corresponding vectors have the same coordinates: RepB() = RepD(f()).

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