Comment #6 on issue 3189 by [email protected]: Calculate eigenvectors
numericly if it impossible calculate symbolical
http://code.google.com/p/sympy/issues/detail?id=3189
It works only if the matrix is non-symbolic.
If matrix is symbolic then it is very interesting result:
a = Symbol(a)
In [34]: vals = roots(x**2 - (1 + a)*x + a, x)
In [35]: v1 = vals.keys()[0]
In [36]: v2 = vals.keys()[1]
In [37]: v1.expand()
Out[37]:
______________
╱ 2
a ╲╱ a - 2⋅a + 1 1
─ - ───────────────── + ─
2 2 2
In [38]: v1.expand(complex=True)
... Many lines output....
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