1. Write the eigenvalue equation
2. Solve the characteristic equation for the eigenvalues
3. Substitute the eigenvalues back into the original equation
4. Solve this equation for the eigenvectors
Here we go! The operator
, so that, in matrix notation the eigenvalue equation becomes
The characteristic equation is
, or
These are the same eigenvalues we found for
(no surprise!) Plugging
back into the equation, we obtain
Jim Branson 2013-04-22