On Thu, Aug 30, 2012 at 4:50 PM, Aaron Meurer <asmeu...@gmail.com> wrote:
> Cramer's method is useful for instructive purposes, and also for
> theory, but practically, it is highly inefficient.  The method used by
> SymPy is Gaussian elimination, which is the most direct way to solve a
> system of linear equations.
>
> Of course, if you want to use SymPy to use Cramer's method, that is
> possible.  I'm not sure what the best method to get the matrices with
> columns replaced is.  Perhaps we should add some method like
> col_replace (and row_replace) to Matrix, which would make this easier.

SymPy can use Cramer's method to do a matrix inverse, see the
docstring of Matrix.inv().

This reminds me that for some reason Matrix class is not exposed in the docs:

http://docs.sympy.org/dev/modules/matrices.html#sympy.matrices.matrices.Matrix

there is only one line "alias of MutableMatrix".

Ondrej

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