Hi!  I have some questions about matrices and solving linear systems of
equations.  These issues arose out of my using Sage for examples in my
Linear Optimization class (it's great for demonstrating how the simplex
algorithm works!) and for research I'm doing involving finite fields.

If I have a matrix A defined over some finite field, and a vector b over the
same finite field, what's the easiest way to solve the equation Ax=b?  Is
there any easy way to augment A with b as an extra column?  Is there an easy
way to insert a row or column?  Is there an easy way to delete a row or
column? The same questions apply for matrices over the rationals.

The functions stack() and insert_row() are pretty useful, but they seem to
be only defined for matrices over the integers.

Thanks for any help,
Stephen

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