#12693: bug in jordan_form(transformation=true) for integer matrices
------------------------------+---------------------------------------------
Reporter: hthomas | Owner: jason, was
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: linear algebra | Keywords: jordan form
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
Stopgaps: |
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{{{
sage: M=matrix(((2,2,2),(0,0,0),(-2,-2,-2)))
sage: M.jordan_form(transformation=true)
(
[0 1|0]
[0 0|0] [ 2 1 1]
[---+-] [ 0 0 0]
[0 0|0], [-2 0 -1]
)
}}}
If the output from M.jordan_form(transformation=true) is J,P, then we are
supposed to have J=P^-1^ M P. The output here is obviously wrong, since P
is not invertible (having a zero row).
If you change the 2's to 1's and the -2's to -1's it works properly.
This behaviour exists in 4.8 and 5.0beta5.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12693>
Sage <http://www.sagemath.org>
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