試題詳解

複選題
5. In a vector space V, we have the two sets S = {u1, u2,..., un3 and Q= {V₁, V₂,..., V_m}. Which of these statements can be true?
(A) S is linearly independent, Q spans V, and n ＞ m.
(B) V has dimension n, Q spans Y, and m ≥ n.
(C) S and Q are bases for V, and n = m.
(D) S is linearly independent, Q is a subset of S and Q is linearly dependent.
(E) S is linearly dependent, Q is a subset of S and Q is linearly independent.