(10%) Consider the matrix M in. It is known that M has four distinct eigernvalues, and let us denote the four cotresponding eigenvectors as Which of the following matrices also has as its eigenvectors?
(A)
(B)
(C)
(D)
(E)

48.台北捷運系統中，「黃線」係指? (A)文湖線 (B)環狀線 (C)淡海輕軌 (D)中和新蘆線。

49.下列哪一車站具有同層月台轉車的功能? (A)東門站 (B)南港展覽館站 (C)民權西路站 (D)大坪林站。

50.以下是 4 位小學生到台北捷運進行校外教學後，將所見所聞上台分 享的內容，何者沒有錯誤? (A)我在搭板南線時，坐在列車上望著藍天白雲，心情十分輕鬆。 (B)我利用列車在松山機場站出發往大直站時，從第 1 節走到第 4 節車廂去跟班長會合。(C)我在等車時，看到月台上的電視顯示第 3 節車廂較為擁擠，於 是就提醒大家到顯示旅客較少的車廂對應位置候車。 (D)我搭板南線到忠孝新生站要轉乘中和新蘆線時發現很方便，下 車後走到對面月台等車就行了。

110台大電信丙組 (10%) Consider a matrix Which of the following is an eigenvalue of this matrix M? (A)1 (B)-3 (C)9 (D) -1+2j (E) -1+4j

109台大電信乙組、資料科學_工數D(5%) Which of the following is an eigenvector of A =? (A) x=；(B) x= ；(C)x=；(D) x=； (E) None of the above.

複選題109中山_電機工數乙 Let A . Which of the following statements are true? (A) If A is singular, then O is an eigenvaluc of A. (B) A and AT share the same eigenvalues and eigenvectors. (C) If A is diagonalizable, then A has n distinct eigenvalues. (D) Suppose that A is nonsingular. The condition Ax = λλx implies (E) Suppose that all the eigenvalues of A are real and positive. Then we have det( A ) ＞ 0.

複選題108台大電機資訊學院_工數C .(10%) For the matrix below, which of the following are correct?(A)-1 is its eigenvalue. (B) 1 is its eigenvalue. (C)-3 is its eigenvalue. (D)Zero vector belongs to its eigenvector. (E)[1 0 2]T is a basis of its eigenspace.

複選題108台大電機資訊學院_工數C (5%) Which of the following are correct? (A) An eigenvalue of a matrix has infinite number of eigenvectors. (B) If det(A -λln) = O, λ is the eigenvalue of n x n matrix A. (C) IfA is the cigenvalue of matrix A, the columns of (A - λIn) are independent. (D) Ifa is the eigenvalue of matrix A, there exist a non-zero vector V such that Av = av. (E) The number of the eigenvalue of n x n matrix A may larger than n.

複選題Which of the following are linear cambinations of and? (A)(B)(C)(D)

Suppoe that T: R2 → R2 is a linet tansformatian such that T and , = ?(A)(B)(C)(D)