Hey all,
Just a note for people working on linear algebra that eigenspaces for real
matrices don't work:

M = MatrixSpace(RR, 3,3)
A = M([3,67,4,2,246,e,3,246,e+1])
A.eigenspaces()

returns

[
(-0.218769859879233, [

]),
(3.62798619883961, [
(1.00000000000000, -1.51195385390357, 1.21729796888225)
]),
(249.309065489499, [

])
]

It's just subtracting off the root of the characteristic polynomial and
taking the kernel, which often won't work when the field is inexact.
Davdi

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