Recent content by wwm

I see. Thanks a bunch.

Thanks so much for all your help. As I mentioned in the original post, I've already done (I+N)^500. What I am trying to understand is why we don't use the transition matrices here and if I need them for similar problems how I would go about getting them if there aren't enough eigenvectors.

That's interesting, because in class when we did similar problems but D=/=I we had to use the transitions matrices (S and S^-1) in order to get the correct answer, but its possible that I am misunderstanding. For example, when we have [; A = \left[ \begin{array}{ccc}3 & 1 & 0 \\ 0 & 3 & 0 \\ 0...

Thanks so much for your help. It is sincerely appreciated. right, we aren't trying to diagonalize a nilpotent. Rather we are trying to diagonalize A using a nilpotent to assist us. This is what's confusing me. I get the binomial theorem aspect for (I+N)500, canceling the terms after N^2. But...

also, even if you don't know how to solve the problem, if you know of anywhere I might be able to find more information on diagonalization using nilpotent matrices, that would be a huge help too.

So my professor gave me an extra problem for Linear Algebra and I can't find anything about it in his lecture notes or textbooks or online. I think I've made it through some of the more difficult stuff, but I am running into a catch at the end. Homework Statement Find [;T(p(x))^{500};] when...