Comment by globalnode

This is timely! I have an assignment on these coming up soon. Can anyone with knowledge about this explain something. From what I can tell, many matrix multiplications move vectors so they are more inline with eigenvectors if they exist. So Markov Chains are just a continual movement in this direction. Some examples that don't do this that I can think of are the Identity matrix and rotations.. Is there a way to test if a matrix will have this effect? Is it just testing for existence of eigenvectors?