i need to create a transition matrix for a senario, i think ive figured out the state space, which in dependent on the last 2 states, bu I don't know how to put it into a matrix, I've given it a shot...

i need to create a transition matrix for a senario, i think ive figured out the state space, which in dependent on the last 2 states, bu I don't know how to put it into a matrix, I've given it a shot so if you wanna see that please let me know