How can I find the Jordan form and basis of this 5*5 matrix?

Question

-1 2 -2 -1 1
-2 5 -5 -2 2
-2 5 -5 -2 2
-3 -5 7 0 0
-4 -3 5 -1 1

Answer 1

I just noticed that two rows are the same, right? This is big, but I'll have to study up what it means. Intuitively, I think that it means that the matrix has a null space, and thus and eigenvalue of zero.

or is it a type?


Read up on it:

http://en.wikipedia.org/wiki/Jordan_normal_form