Suppose that the eigenvalues of matrix A are 1, 2, 4. The determinant of (A−1)T is ______

Determinant of A = 1*4*2 = 8 which is product of Eigen values. Determinant of A-1 = 1/8 as determinant of inverse of matrix is inverse of determinant. Determinant of Transpose (A-1) = 1/8