Hi guys, This isn't a homework question but it's course related. In my mathematical methods in Physics course we were introduced the Jordan normal form of a matrix. I didn't grasp all. What I understood is that when a matrix isn't diagonalizable, it's still possible (only sometimes; depending on the given matrix), to "almost" diagonalize it. I'd like to know what is the point of doing so, especially how can it be used for physicists and in what kind of problems such matrices can appear. Thanks a lot!