The determinant of a matrix is a value computed from the elements of a square matrix. Determinants are very useful mathematically, such as for finding inverses and eigenvalues and eigenvectors of a matrix and diagonalization, among other things. Determinants are denoted as or . A matrix that does not have a determinant of zero is called a nonsingular or nondegenerate matrix. Such a matrix will always be invertable and can be row-reduced to the identity matrix.