#12370: Change is_singular to use rank instead of determinant
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Reporter: jlopez | Owner: jason, was
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.0
Component: linear algebra | Keywords: matrices, is_singular
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Changes (by jlopez):
* status: new => needs_review
Comment:
Changed `is_singular` method to use rank instead of determinant, which is
much faster for generic matrices (particularly over ZZ). Fixed also an
inconsistency in the error raised by `determinant` for nonsquare matrices,
as it returns different error messages over the rationals.
Change is fairly minimal, and tests pass on my machine (Mac OS 10.6.8).
Ready for review.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12370#comment:1>
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