Eigenvector Question: Is v=(2,1) the same as v=(4,2)?

[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?

 

[courtrigrad]

yes that is correct

 

[barksdalemc]

thanks a lot