試題詳解

(5%) Which of the following is true?
(A) Every nonzero subspace of Rⁿ has a unique basis.
(B) Every subspace of Rⁿ has a basis composed of standard vectors.
(C) The column space of an m✖ n matrix is contained in Rm.
(D) If V is a subspace of dimension k, then every generating set for V contains exactly k vectors.
(E) The pivot columns of a m ✖ n matrix A form a basis for the column space of A.