問題詳情

Denote det A as the determinant of the matrix A, and denote

as the inverse of the
matrix A. Let A, B, and P be square matrices. Which of the following statements
is/are true?

(A) It is always true that det AB = det BA.

(B) If the columns of A are linearly dependent, then det A = 0.

(C)It is always true that det (A + B) = det A + det B.

(D)If A is invertible, then det



(E) Suppose that Pis invertible. Then det

= det A.

參考答案

答案：A,B,D,E
難度：計算中-1
書單：沒有書單，新增