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試卷名稱：110年 - 110 國立中山大學_碩士班招生考試_電機系(甲、戊、己、庚組)、通訊所(乙組)、電波聯合：工程數學甲#105948
年份：110年
科目：中山◆電機◆工程數學乙
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, a2, a3 are column vectors of A.
Then a1 and a2 are linearly dependent.
(D) The linear equation Ax = 0 has infinitely many solutions.
(E) The linear equation ATy = d cannot have a unique solution for any
.