#6942: jordan_form with transformation=true returns non-invertible
transformation
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Reporter: syazdani | Owner: tbd
Type: defect | Status: needs_review
Priority: critical | Milestone: sage-4.3.2
Component: linear algebra | Keywords: jordan_form, transformation
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by rbeezer):
This is looking pretty good. But I'll have to spend some more time with
it. Until then, here's another 10x10 matrix with a nice Jordan form and
nearly no fractions in the transformation matrix.
{{{
matrix(QQ, [
[-6, 9, -7, -5, 5, 12, -22, 14, 8, 21 ],
[ -3, 5, -3, -1, 2, 7, -12, 9, 1, 12 ],
[8, -9, 8, 6, 0, -14, 25, -13, -4, -26 ],
[-7, 9, -7, -5, 0, 13, -23, 13, 2, 24 ],
[0, -1, 0, -1, -3, -2, 3, -4, -2, -3 ],
[3, 2, 1, 2, 9, -1, 1, 5, 5, -5 ],
[-1, 3, -3, -2, 4, 3, -6, 4, 4, 3 ],
[3, -4, 3, 2, 1, -5, 9, -5, 1, -9 ],
[0, 2, 0, 0, 2, 2, -4, 4, 2, 4 ],
[-4, 4, -5, -4, -1, 6, -11, 4, 1, 10]
])
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6942#comment:7>
Sage <http://www.sagemath.org>
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