23. (4 points) Which of the following statements are NOT correct?

(A) If S is linearly independent and generates V, each vector in V can be expressed
uniquely as a linear combination of vectors in S.

(B) Every vector space has at least two distinct subspaces.

(C) No vector is its own additive inverse.

(D) All vector spaces having a basis are fnitely generated.

(E) Any two bases in a finite-dimensional vector space V have the same number of
elements.