試卷名稱:108年 - 108 國立臺灣大學_碩士班招生考試:工程數學(C)#124656
年份:108年
科目:研究所、轉學考(插大)◆工程數學
15. (5%) Which of the following are correct?
(A) An eigenvalue of a matrix has infinite number of eigenvectors.
(B) If det(A – λIn) = 0, λ is the eigenvalue of n x n matrix A.
(C) If λ is the eigenvalue of matrix A, the columns of (A -λIn) are independent.
(D) If λ is the eigenvalue of matrix A, there exist a non-zero vector v such that Av = λv.
(E) The number of the eigenvalue of n x n matrix A may larger than n.