試題詳解

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.