Re: Kernel - matrix included
- To: mathgroup at smc.vnet.net
- Subject: [mg37827] Re: [mg37698] Kernel - matrix included
- From: Sseziwa Mukasa <mukasa at jeol.com>
- Date: Thu, 14 Nov 2002 06:11:35 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
On Saturday, November 9, 2002, at 12:28 AM, mansj wrote: > For those that can't read attachments: > > Hi. > I want to find the kernel of this 80 by 96 matrix where the aijk are > unspecified. (I already know that the vector v7:= (1, 0, 0, 0, 0, 1, 0, > 0, 0, 0, > 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, > -1, > 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, > 0, > 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, > 0, > -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1) is in the > kernel > > but are there any others?) My computer > just sits there rumbling. Is it too big for my computer or should I not > use > the 'NullSpace' function? > Thanks for this. > OK, I tried this on my dual processor (but Mathematica only uses 1) 1GHz G4 PowerMac with 1Gb of memory. It took 2571 seconds using NullSpace to get a result. Use a semicolon to suppress the display of the results also. The resulting object is large and difficult to work with also. I tried using Solve but it only returned a single solution. I don't really have any other suggestions. Regards, Ssezi