Assume V and W are finite-dimensional vector spaces and Tis a linear transformation from V to W, T: V- W. Let H be a nonzero subspace of V, and let T(H) be the set of images of vectors in H. Then T(H) is a subspace of W. Prove that dim T(H)< dim H. What piece of information can you gather about H from the relationship between V and H? O A. Since H is a nonzero subspace of a finite-dimensional vector space V, H is finite-dimensional and has a basis. O B. Since H is a nonzero subspace of a finite-dimensional vector space V, H is not finite-dimensional but it has a basis.

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