On Jun 2, 1:33 pm, Mike Hansen <mhan...@gmail.com> wrote:
> On Wed, Jun 2, 2010 at 6:43 AM, kcrisman <kcris...@gmail.com> wrote:
> > I guess I'm a little surprised that even the 'vector' explicitly
> > designated to be over ZZ isn't in there.  I think I'm mathematically
> > ok, too - taking the echelon matrix, isn't my vector e_1-(1/3)*e_2-
> > (1/3)*e_3 ?
>
> Those coefficients are in QQ not ZZ.

Oh, of course - it isn't just the entries in the matrix that are in ZZ
(I was expecting these were over ZZ), but also (implicitly) the
coefficients for the linear combos when you make the row space, that
makes sense. Thanks for the clarification.

- kcrisman

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