Given det ⎣⎡adgbehcfi⎦⎤=−5, find the following determinants. det⎣⎡gadhbeicf⎦⎤ det⎣⎡a5d+agb5e+bhc5f+ci⎦⎤= det⎣⎡5d+adg5e+beh5f+cfi⎦⎤= Note: You can earn partial credit on this problem. Problem 4. (1 point) A and B are n×n matrices. Check the true statements below: A. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. B. If detA is zero, then two rows or two columns are the same, or a row or a column is zero. C. detAT=(−1)detA. D. The determinant of A is the product of the diagonal entries in A.
