Date: May 17, 2012 6:07 AM
Author: Victor Eijkhout
Subject: Linear algebra equation solver?

I'm looking for software that can solve systems of linear algebra
equations. Example:

I have two equations, z = y + ax (a scalar, x,y,z vector) & p^t z = 0
(p another vector), assume no two vectors are orthogonal. Vectors
x,y,p are known, vector z and scalar a are unknown.

The solution of this is z = y+az where a = -(p^ta)^{-1}(p^ty)

Is there software that can solve this sort of system of equations?