Since Julia plays so nicely with Python, why not just - at least in the 
short term - create a package that interfaces with SymPy 
(http://sympy.org/en/index.html)?  This will certainly give you what you 
want, and a great deal more besides.

On Thursday, January 9, 2014 6:50:01 AM UTC+11, 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-julia
> )
>
>

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