Hi:

Something funny is going on:

sage: MS = MatrixSpace(CC, 2, 2)
sage: A = MS([[1,5],[3,-1]])
sage: A.eigenspaces()

[
(4.00000000000000, [
(1.00000000000000, 1.00000000000000)
]),
(-4.00000000000000, [

])
]
sage: A.eigenspaces()[0]

(4.00000000000000, [
(1.00000000000000, 1.00000000000000)
])
sage: A.eigenspaces()[1]

(-4.00000000000000, [

])
sage: MS = MatrixSpace(QQ, 2, 2)
sage: A = MS([[1,5],[3,-1]])
sage: A.eigenspaces()

[
(4, [
(1, 1)
]),
(-4, [
(1, -5/3)
])
]

I find it strange that eigenspaces works for QQ
but not for the larger field CC. Makes me think
the problem isn't with eigenspaces at all ...
Should I create a trac item under linear algebra
or ???

- David Joyner

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