I never thought of taking the approach of letting AP=PJ & work from that. I can now see the results of using generalized eigenvectors & why they are useful. Thanks!
I've been having some trouble with conceptually understanding the idea of a generalized eigenvector. If we have a linear operator A and want to diagonalize we get it's eigenvalues and eigenvectors but if the algebraic multiplicity of one of the eigenvalues is greater than the geometric...
Most people have heard about the birthday problem if 23 people are placed in a room what is the probability that 2 people share the same birthday. Well, we can make 253 pairs and divide it by 364.
253/364= 69%
Anyway, this isn't my question.
This is:
Consider the following, 15 people...