a rat is placed at random in one of the compartments of the maze pictured. A rat in compartment 1 cannot leave that compartment.A rat in compartment 2 cannot leave the compartment. The probability that a rat in compartment 3 will move to compartment 1 is 0.4, and to compartment 4 is 0.6. A rat in compartment 4 will move to compartment 1,2,3 or 5 with probabilities of 0.2,0.4,0.3 and 0.1 respectively. A rat in compartment 5 will move to 2 or 4 with probabilities of 0.4 and 0.6 respectively. Set up the transition matrix using the information. Determine the fundamental matrix and the stable matrix.