Given T : V W as in Exercise 35, and given a subspace Z of
Chapter 4, Problem 36E(choose chapter or problem)
Given T : V W as in Exercise 35, and given a subspace Z of W, let U be the set of all x in V such that T (x) is in Z. Show that U is a subspace of V.Reference:Let V and W be vector spaces, and let T : V W be a linear transformation. Given a subspace U of V, let T (U) denote the set of all images of the form T (x), where x is in U. Show that T (U) is a subspace of W.
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