I have a matrix that is composed of multivariant polynomial
entries.  I want to compute its determinant.  The problem is that it
is very slow or runs out of memory.  For example,
R.<x,y> = QQ[]
C = random_matrix(R,10,10)
Cdet = C.determinant()   # this line takes a long time

If you have more variables, it will run out of memory instead (on a 32
bit installation).

Is there a more efficient way to do this?  Would using symbolic
expressions then coercing back to the polynomial ring be better?

Thanks
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