Jemidiah, it seems like you are not talking linear algebra at all. Let me explain what I mean:

When I say that I want to solve an equation system Ax=b, then x and b are vectors (in my case x contains about 100 unknowns) and A is a 100x100 matrix.
Since this is a system of linear equations, calculating derivatives are not at all relevant in this case.


For a general equation system (non-quadratic A)
Ax=b
the nullspace matrix of A is defined as the matrix, containing as it's columns, the x basis vectors satisfying
Ax=0
The null space matrix is not in any way unique, since the basis vectors are not unique. But I just need a function returning an arbitrary null space matrix.


Anyway, is it someone out there that knows if there is a LINEAR ALGEBRA PACKAGE available for Visual Basic, similar to the package LAPACK to FORTRAN????