EIGVEC

Purpose:

Computes the Eigenvectors of a square matrix.

Syntax:

EIGVEC(a)

A square matrix.

Returns:

A square matrix with the same dimensions as a. Each column of the output is an Eigenvector. The Eigenvector in column n of EIGVEC corresponds to the Eigenvalue in row n of EIGVAL.

Example:

x = {{1, 3, 4},

{5, 6, 7},

{8, 9, 12}}

eigvec(x) == {{-0.25387, -0.89628, 0.04651},

{-0.50456, 0.27028, -0.80186},

{-0.82521, 0.35162, 0.59570}}

Remarks:

x *^ eigvec(x) == eigvec(x) *^ diag(eigval(x))