複選題

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.

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