I have the following problem.
If the Jordan form of is a single Jordan block of size ,
then how many independent eigenvectors does A have and what is the dimension of ?
I have the following problem.
If the Jordan form of is a single Jordan block of size ,
then how many independent eigenvectors does A have and what is the dimension of ?
Thanks for your help. bkarpuz
As the number of Jordan blocks corr. to an eigenvalue equals the dimension of the eigenspace corr. to that eigenvalue, we have in this
case that there's one unique eigenvalue for that matrix and its eigenspace is of dimension 1...