jack4561

Let V and W be two (real) vector spaces and T : V → W is a linear transformation. Suppose Z is a subspace of W, namely Z ≤ W. Let T −1 (Z) be the set of all vectors x in V such that T(x) lies in Z. Namely T −1 (Z) = {x in V | T(x) lies in Z.}. Argue that T −1 (Z) is also a subspace of V . I don't know how to prove this correct Could anyone help me Thank you T(V) =W > Z ......