試題詳解

複選題
2.Let A and B be square matrices and a be a real number. Which of the following statements are true?
(A)det(A²⁾ = det(A^TA)
(B) det(B^TA) = det(A^TB^T)
(C) det(aA) = aㆍdet( A )
(D) det(A+B) = det( A ) + det ( B )
(E) Swapping two rows of A will not change its determinant.