Computes the Eigenvectors of a square matrix.
EIGVEC(a)
a |
- |
A square matrix. |
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.
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}}
x *^ eigvec(x) == eigvec(x) *^ diag(eigval(x))
See EIG for a further discussion of eigenvalues and eigenvectors.