How to compute the eigenvalue condition number of a matrix How to compute the eigenvalue condition number, $\kappa(4,A)$, of a matrix $A$ 
$$A = \begin{bmatrix} 4 & 0 \\ 1000 & 2\end{bmatrix}$$
I am a bit stuck on how to proceed solving this problem
I know that the eigenvalue condition number equation is 
$κ(λ, A) = \|y\|\|x\|$.
But other than that, I am lost. 

The condition number of an eigenvalue is actually $\frac{1}{y^*x}$ where x and y are right and left eigenvectors of your matrix with respect to the same eigenvalue. Before you apply the formula make sure you normalize your eigenvectors.
