There are different methods for finding the determinant too.  See the docstring 
of the .det() method.

Aaron Meurer
On Jun 29, 2010, at 7:49 AM, Colin wrote:

>> So it finished in about 11s. How long does it take for you?
> 
> About the same, I'm pretty impressed with the performance on this
> calculation.
> 
>> But I don't know how to simplify this. In my experience, if you need
>> to invert some matrices, different methods give different results, I
>> think reasonably simple results gives the ADJ method, see the
>> docstring of the .inv() method.
> 
> I actually don't want to invert the matrix, just calculate the
> determinant symbolically - it may just be that this calculation is too
> massive for symbolic algebra.
> 
> —cjc

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