In R4, let U be the subspace of all vectors of the form (u1, u2, 0, 0)T , and let V be the subspace of all vectors of the form (0, v2, v3, 0)T . What are the dimensions of U, V, U ∩ V, U + V? Find a basis for each of these four subspaces. (See Exercises 20 and 22 of Section 2.)
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