Question: Can someone help me with this problem? 8. * Let H be a nonzero subspace of finite dimensional vector space V and suppose T is

Can someone help me with this problem?

8. * Let H be a nonzero subspace of finite dimensional vector space V and suppose T is a linear transformation T : V - W. Let T(H) be the set of images of vectors in H. Show that T(H) is a subspace of W and prove that dim T( H )

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