If you look in base/linalg/matmul.jl, you'll find functions like 
generic_matmatmul that do multiplication on arbitrary matrices. 
Division/factorization is a completely different story, I think. You could 
presumably implement a gaussian-elimination algorithm (or something fancier) 
in pure Julia, and that would give you the ability to work with Rational 
matrices.

--Tim

On Wednesday, January 08, 2014 11:50:01 AM David Zhang wrote:
> Does Julia have any support for linear algebra on rational-valued matrices?
> Currently, most linear algebra functionality seems to be provided by
> BLAS/LAPACK, which only support operations on floating-point matrices.
> 
> I am interested in this because I would like to use Julia to derive
> high-order numerical integration methods, whose coefficients are the
> solutions of rational linear system.
> 
> (Continuation from
> http://stackoverflow.com/questions/20985783/rational-matrix-division-in-juli
> a )

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