A method is developed to solve the Sherrington-Kirkpatrick infinite-ranged spin-glass model, considering the staggered magnetizations associated with the eigenvalue spectrum of the random interaction matrix as the spin-glass order parameters. It is shown that the spin-glass ordering is not associated with a macroscopic condensation of eigenstates, but instead each of the N eigenstates acquires, below Tc, nonzero magnetization of O(1).