If I run this -

from sympy import *


M = Matrix([ [1, .6, .6], [.6, 1, .9], [.6, .9, 1] ])
print 'M =', M
print 'eig values =',M.eigenvals()
print 'eig vectors =',M.eigenvects()

I get -

M = [  1, 0.6, 0.6]
[0.6,   1, 0.9]
[0.6, 0.9,   1]
eig values = {0.489531364385073: 1, 2.41046863561493: 1, 0.100000000000000: 1}
eig vectors =
Traceback (most recent call last):
  File "EigenTest.py", line 8, in <module>
    print 'eig vectors =',M.eigenvects()
File "/usr/local/lib/python2.7/dist-packages/sympy-0.7.1_git-py2.7.egg/sympy/matrices/matrices.py", line 2969, in eigenvects raise NotImplementedError("Can't evaluate eigenvector for eigenvalue %s" % r) NotImplementedError: Can't evaluate eigenvector for eigenvalue 0.489531364385073

It runs right away (no delay) and gets the correct eigenvalues, but cannot calculate the eigenvectors. Any suggestions?

The answer from Maple is -

[2.410468637, 1, {vector([.5154991337, .6059127988, .6059128004])}], [.4895313645, 1, {vector([-.8568900997, .3645129341, .3645129324])}], [.999999991e-1, 1, {vector([.1078e-8, .7071067798, -.7071067815])}]



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