Can this software do linear algebra over the integers?  More to the
point, can it reduce an integer matrix (at least 16 by 16) to echelon
form?  If not, does anyone have a recommendation on what open source
software can do this?

My matrix represents a map from \mathbb Z^n to \mathbb Z^n to (\mathbb
Z / r\mathbb Z)^n.  And I'd like to  find the cardinality of the image
of this transformation.

Thanks,
Heidi


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