If, we have any given matrix A then determinant of matrix A is equal to determinant of its transpose. We can prove this by taking variable
elements within a matrix. We first calculate determinant of matrix A and then we calculate determinant of transpose of matrix A. We can verify from example that both comes out to be equal. To go through example, have a look at the file present below. I have taken an example and have proved that determinant of matrix is equal to determinant of its transpose.