In the next matrix however (which is an overall dominant matrix squared) you will notice 6 7 6 7 i was just wondering what these represent? is this a diagonally dominate matrix?

My last question on a different type of matrix is about a steady state matrix. Is there a way of proving

algebraically? I know that if you multiply the steady state by the transition matrix to a large power on n it is the same for any larger power of n+1.

Thank you Giovanni