試題詳解

Consider the linear equation Ax = b with A . Which of the following statements are true?
(A) Ifrank( A ) = m, then there exists at least one solution.
(B) If rank( A ) = n, then there exists exactly one solution.
(C) Ifrank( A ) = n, then the column vectors of A are lincarly indcpendent.
(D) Ifn ＞ m, then there exists at least one solution.
(E) Ifm ＞ n, then there exists at most one solution.