# Solving for eigenvectors with eigenvalue

I have an eigenvalue and I'm trying to solve for the associated eigenvector.
The equation is: $[A]*[v]=b[v]$
I have matrix $[A]$, and eigenvalue $b$.
How do I solve for matrix $[v]$?

It seems this should be simple, but I'm not seeing it.

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Do you know how to solve a linear system of equations? –  Raskolnikov Jul 16 '13 at 16:49

$A*v=k*v$
where $k$ is eigenvalue,then it satisfy
$det(A-k*I)=0$
after that put values of $k$,could you continue? https://en.wikipedia.org/wiki/System_of_linear_equations