試題詳解

6.(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 R^m.
(D) If V is a subspace of dimension k, then every generating set for V contains exactly h vectors.
(E) The pivot columns of a  m ✖ n matrix A form a basis for the column space of A.