The magnitude of a negative eigenvalue characterizes the level of attraction along the corresponding eigenvector.

The corresponding eigenvectors are the symmetric and antisymmetric states:

The optimal value of C is the eigenvalue of the corresponding eigenvector.

We may retain all the eigenvalues and their corresponding eigenvectors since the most of the noise are already discarded in previous step.

We find that the solutions to are when 1/t is an eigenvalue of S and that is a corresponding eigenvector.

Having obtained the eigenvalues, can readily find the corresponding eigenvectors.

Then one can compute the corresponding eigenvector from the homogeneous linear system .

The principal directions are the corresponding eigenvectors.

The corresponding eigenvector provides the stable age distribution, the proportion of individuals of each age within the population.

For each eigenvalue there are one or more corresponding eigenvectors (eigenstates).