A command to get the Eigen structure of a square matrix.

Settings

Matrix type

determines the matrix type. Symmetric matrices always have real eigenvalues and eigenvectors, while a general matrix can have complex eigenvalues and eigenvectors. For a general matrix the complex eigenvalues always occur in pairs with equal real parts and complex parts with opposite signs.

Number of eigenvalues

The number of eigenvalues you need. If you choose the default, 0, the number of eigenvalues will be equal to the dimension of the square matrix. If the number you choose is less than the dimension of the matrix then if the sort is ascending the smallest eigenvalues are selected. If the sort is descending the largest eigenvalues are selected.

Sort ascending

if true, the eigenvalues and corresponding eigenvectors are sorted from smallest to largest, if false the values are sorted from largest to smallest. For a general matrix the eigenvalues/vectors are not sorted.