複選題Let A, B ∈ , where F = C or R. Which of the following statements are true?(A) det (AB) = det(BA)(B) det(AB) = detdet(C) det(B-1AB)= det(D) det = (det )'(E)det(A±B)=det+det

複選題Which of the following statements about the determinant is true?(A) For any square matrix A, det = -det A.(B) The determinant of the n x n identity matrix is .(C) 'The deterrninant of an upper triangular mnatrix is always equal to the product of itsdiagonal 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.

複選題
Let A, B ∈ , where F = C or R. Which of the following statements are true?
(A) det (AB) = det(BA)
(B) det(AB) = detdet
(C) det(B-1AB)= det
(D) det = (det )'

(E)det(A±B)=det+det

相關試題

相關試卷