I opened http://code.google.com/p/sympy/issues/detail?id=2683 for the
det() issue.  I don't know how to reproduce your other problem, so I
can't open any issues for that.

Aaron Meurer

On Tue, Sep 6, 2011 at 10:27 AM, Aaron Meurer <[email protected]> wrote:
> Hi.
>
> If you look at the source, it's only being called to see if the matrix
> is invertible.  But this is unnecessary, because it can just check the
> form of the output of rref to determine this.  Can you open an issue
> for this?  Or, you could send in a patch.  This should be quite easy
> to fix.
>
> On Mon, Sep 5, 2011 at 2:32 PM, Bryan <[email protected]> wrote:
>> Hi all.
>>
>> When inverting a matrix through gaussian elimination, the det() method
>> is called,
>> which kills the performance and I think makes little sense as having
>> calculated the
>> det allows other ways of inverting the matrix and because there are
>> other ways of
>> noticing if the matrix is non-invertible through gaussian elimination.
>>
>> Also, it is dying on me due to some error (cannot elevate polynomial
>> to negative power),
>> but I know that the matrix is invertible.
>
> This is probably a separate error.  What Matrix gives you this error?
> Can you open a (separate) issue for this?
>
> Aaron Meurer
>
>>
>> Is there any good reason to call det() there?
>>
>> Regards
>>
>> Bryan
>>
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