24. (4 points) Let Wi and Wa be subspaces of a finite-dimensional vector space V. Let 6
denote the direct sum. Which of the following statements are correct?

(A) Win Wa is a subspace of V.

(B) WiUW2 is a subspace of V.

(C) W1+W2 is a subspace of V.

(D) If V = Wi @ Wa, and Bi and Be are bases for Wi and Wa, respectively, then
Bi O Bz = 0, and B1 U Bz is a basis for V.

(E) If Wi e Wa = V, then the dimension dim(V) = dim(Wi)+dim(Wz).