On Thu, Apr 18, 2013 at 1:50 PM, Juan Grados <juan...@gmail.com> wrote:
> Dears members,
>
> I executed right_kernel() for any matrix H. Why always I get a basis matrix
> in this form [I|A] (I:identity)?

That's not true for  the 1x2 matrix [1,0]:

sage: matrix(1,2,[1,0]).right_kernel()
Free module of degree 2 and rank 1 over Integer Ring
Echelon basis matrix:
[0 1]

The basis matrix is not of the form [I|A], for I the identity matrix.

For a *random* matrix you'll get [I|A] though.

William

William



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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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