試卷名稱:109年 - 109 國立中山大學_碩士班招生考試_電機(甲、戊、己組)、通訊所(乙組)、電波聯合:工程數學甲#106080
年份:109年
科目:中山◆電機◆工程數學甲
18. Consider the linear equation Ax = b, where A = [a1, a2, a3, a4 ] ∈
and a1, a2, a3, a4 are
column vectors of A. Suppose a1 + a2 + a3 + a4 = b. Which of the following statements are true?
(A) The linear equation has exactly one solution.
(B) The linear equation has infinitely many solutions.
(C) No conclusion can be drawn about the number of solutions to the linear equation.
(D) The vectors a1, a2,a3, a4 are linearly dependent.
(E) rank([A,b]) = rank