Re: How to implement equivalent of magma NullSpace in Pari/GP

[Bill Allombert <Bill.Allombert@math.u-bordeaux1.fr>]

On Thu, Dec 24, 2009 at 08:33:41PM +1100, Kevin Acres wrote:
> Hi,
>
> I'm trying to implement an equivalent of the Magma NullSpace() function.

In PARI, this is called matker().

> For example I'd like:
>
> [0 0 0 1 0 0 1 0]
> [1 0 1 0 0 0 1 0]
> [1 1 0 0 0 0 0 1]
> [0 1 1 0 0 0 0 1]
> [0 1 1 0 0 0 0 0]
> [0 0 1 0 0 1 0 0]
>
> to return
>
> [0 1 0 0 0 0 0 0 1]
> [0 0 1 0 0 1 1 0 0]

Really ?  If you want to compute the kernel over Z/2Z then you should do
matker(M*Mod(1,2)).

Cheers,
Bill.