
Re: Linear Algebra Question
Posted:
Apr 15, 2014 10:00 AM


On Tue, 15 Apr 2014 11:05:01 +0200, Roland Franzius <roland.franzius@uos.de> wrote:
>Am 13.04.2014 18:25, schrieb dullrich@sprynet.com: >> Just realized I've been lying to my students for years. >> >> Q. Say A is a 2x2 real matrix, b is in R^2 and b <> 0. >> Let S = {x in R^2 : Ax = b}. Is S closed under addition? >> >> A: ??? > >A is the affine space of one solution plus kernel of A.
If there _is_ a solution...
> >Conventionally expressed as: >The solution space of a linear equation is made up by a special solution >of the inhomogenuos plus any linear combination of solutions of the >homogenous equation.
If there _is_ a solution...
> >What is the meaning of "student" here. High school students? Students of >the Raetian University of Applied Sciences?
Undergraduates, mostly junior and senior engineers.

