試卷名稱:110年 - 110 國立中山大學碩士暨碩士專班招生考試_部分碩士班:工程數學甲#105940
年份:110年
科目:研究所、轉學考(插大)◆工程數學
6.Let
and nullity( A ) denote the dimension of N( A ). Suppose nullity( A ) = 2. Which of the
following statements are true?
(A) rank(AT) = 3
(B) nullity(AT) = 4
(C) Let A = [a1, a2, a3], where a1, 2, a3 are column vectors of A.
Then a1 and az are linearly dependent.
(D) The linear equation Ax = 0 has infinitely many solutions.
(E) The lincar equation ATy = d cannot have a unique solution for any 