'eigenvectors' failed..



Hi,

'eigenvectors' failed to work on numeric 2x2 matrix below..

m: matrix( [10.48273938962865,14.15187882832064],
[21.22781824248096,31.71055763210962] );
eigenvectors(m)

It gave the following error message..

algsys failure: the eigenvector(s) for the 1 th eigenvalue will be missing.
algsys failure: the eigenvector(s) for the 2 th eigenvalue will be missing.

and just returned the eigenvalues..

[0.77255984019432, 41.42073711336268]

Using another software.. the eigenvectors should be..

eigenvector of eigenvalue 0.7725598869933528:
    (-0.8245648401323937, 0.5657674649689922)
eigenvector of eigenvalue 41.42073713474491:
    (0.4159735579192842, 0.9093767091321241)

Anyone knows what has happened?

I noticed little difference in eigenvalues after 7-8th decimal place
between Maxima and that another software.. maybe this caused the
failure?

Best regards,
bowo