Adhesion can be a critical determinant of virulence for bacteria. The subgroup of the matrices of determinant 1 in is denoted . Compute the determinant of a matrix. This is true because singular matrices are the roots of the determinant function. It consists of all orthogonal matrices of determinant . The subset consists of those matrices whose determinant is non-zero. These suffice to uniquely calculate the determinant of any square matrix. Cramer's rule applies to the case where the coefficient determinant is nonzero. This site binds to a portion of the antigen called an antigenic determinant or epitope. First the matrix is normalized to make its determinant equal to one. The Hessian determinant of is formula 81 times its discriminant. Laplace expand the determinant of this matrix along column . Such a function admits a Jacobian determinant. This is a consequence of the Laplace expansion of the determinant. A consequence is that can be obtained from the functional determinant of the harmonic oscillator.