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QUESTION
I'm not exactly sure how to do this! Let V and W be vector spaces and let f : V â...
I'm not exactly sure how to do this!
Let V and W be vector spaces and let f : V → W be a linear map. Let U be the a subpace of W. Show that f ^−1 (U) is a subspace of V where f^ −1 (U) = {x ∈ V : f(x) ∈ U}.
