I'm using the Eigensystem function, and I'm trying figure out whether or not it is singular or ill-conditioned. I'm using the function as so:
And it returns a list of eigenvalues and eigenvectors, and the condition number last. How high or low does the condition number have to be for us to deem the corresponding matrix ill-conditioned?
On one matrix, the condition number is $\infty$, I'm sure this is ill-conditioned, but the other numbers are something like 14.555555, and 120.4, etc.