[Maxima-discuss] missing eigenvectors?

[Evan C. <eva...@gm...>]

Let a : matrix([0,20,50],[0.05,0,0],[0,0.1,0]);

The eigenvalues (which I can generate 'correctly' using Maxima, Maple, 
Matlab...) are

  1.1071599 -0.8375654 -0.2695944

But I can't for the life of me figure out how to get Maxima to output 
the correct/corresponding eigenvectors. All I get from

eivects(a)

is what my students frequently refer to as 'BUO' (big ugly output). More 
interestingly (confusingly?),  Maxima prints

"eigenvectors: the eigenvector(s) for the"" "1" ""th eigenvalue will be 
missing."" "
" "" "
"eigenvectors: the eigenvector(s) for the"" "2" ""th eigenvalue will be 
missing."" "
" "" "
"eigenvectors: the eigenvector(s) for the"" "3" ""th eigenvalue will be 
missing."" "


Not sure how to interpret this at all. The 'correct' eigenvectors are 
shown in the following: eigenvalue, followed by multiplicity, followed 
by the (non-normalized) eigenvector.

[1.107159872, 1, {vector([85.42557140, 3.857869738, .3484473959])}],
  [-.2695944363, 1, {vector([20.21568342, -3.749276870, 1.390710031])}],
[-.8375654358, 1, {vector([-95.19690114, 5.682953070, -.6785085471])}]

Normalized values are:

          [,1]         [,2]        [,3]
[1,] 0.998973524 -0.998197629  0.98099138
[2,] 0.045114240  0.059589232 -0.18193836
[3,] 0.004074772 -0.007114576  0.06748595

What magic do I/we need to do to have Maxima dump out something that 
isn't BUE, and not missing!!

Thanks!