4.2.35 question let v and w be vector spaces, and let t : → 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. to show that t(u) is a subspace of w, first show that the zero vector of w is in t(u). choose the correct answer below. (a) since v s a subspace of u the zero vector of u ou is in v. (b) since t s inear t ou .w, where is the zero vector of woms tu (c) since u is a subspace of w, the zero vector of w, ow, is in u. (d) since t is linear, t(0w) = 0v, where 0v is the zero vector of v so 0w is in t(u).