I was solving for eigenvector and came across this equation.
$(-\sqrt 3 - \sqrt {11} )x = 4y $ where $(x,y)$ is eigenvector.
So for the eigenvector I wrote $(4,-\sqrt 3 - \sqrt {11} )$.
My question is, is this same as $(-4, \sqrt 3 +\sqrt {11} )$ and $(1,\frac{-\sqrt 3 - \sqrt {11}}{4} )$ ?
Thanks for your help.
All the vectors you have mentioned are scalar multiples of each other.