試題詳解

5. (5%) Which of the following statements about the determinant is true?
(A) For any square matrix A, det A^T = -det A.
(B) The determinant of the n✖n identity matrix is (-1)ⁿ.
(C) The determinant of an upper triangular matrix is always equal to the product of its diagonal entries.
(D) Performing a row addition operation on a square matrix does not change its determinant.
(E) Performing a scaling operation on a square matrix does not change its determinant.