# Homework Help: Eigenvector question

1. Nov 3, 2006

### barksdalemc

If I find a given eigenvector , that vector spans the entire eigenspace defined by that eigenvalue correct? Let's say I get v=(2,1) as an eigenvector. That is the same as saying v=(4,2) right? since they are spanning the same space?

2. Nov 3, 2006