# 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

suppose that

$A*v=k*v$

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

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The sys of linear eq's did it for me. Simple substitution gave me the vector. The det()=0 didn't help me at all. i.e. I'm not sure how this helps. Maybe you ment: (A-kI)v=0 –  Doug Jul 17 '13 at 19:28