The classic example of a matrix that's
not diagonalizable is Jordan Block.
Okay, so what is this? This is a matrix
that is k by k.  On its diagonal you have
mu, which obviously is it's only eigenvalue. And then on its super-diagonal you
have all ones. And the rest of the matrix
is all zeros.  And I'm going to let you do
the homework in which you compute what the eigenvalues and eigenvectors of this
matrix are.  And then we'll reconvene in
the next video.
