not sure how to create the transition matrix for this case

5. A traffic officer is assigned to radar duty at the six numbered intersections given in Figure 1. She is instructed to remain at one of the numbered (1 to 6) intersection for an hour and then to remain at the same (numbered) intersection or move to an adjacent (numbered) intersection (she must stay on the road way, ie., she cannot move diagonally). To avoid establishing a pattern, she is told to choose her next intersection at random, with each possible choice equally likely. Assume she is initially at one of the number intersections. For example, if she is at intersection #2, she has three choices (move to #1, move to #5, or stay at #2), and each choice is equally likely, so 1 1 1 P12 = P22 = 7 Ps2 = P32 = P42 = P2 = 0. JDOO TON Figure 1 a) Write down the transition matrix, T for this Markov chain in the space at the left. b) Decide if T is a regular matrix. Why or why not? Is this a regular Markov process? 5. A traffic officer is assigned to radar duty at the six numbered intersections given in Figure 1. She is instructed to remain at one of the numbered (1 to 6) intersection for an hour and then to remain at the same (numbered) intersection or move to an adjacent (numbered) intersection (she must stay on the road way, ie., she cannot move diagonally). To avoid establishing a pattern, she is told to choose her next intersection at random, with each possible choice equally likely. Assume she is initially at one of the number intersections. For example, if she is at intersection #2, she has three choices (move to #1, move to #5, or stay at #2), and each choice is equally likely, so 1 1 1 P12 = P22 = 7 Ps2 = P32 = P42 = P2 = 0. JDOO TON Figure 1 a) Write down the transition matrix, T for this Markov chain in the space at the left. b) Decide if T is a regular matrix. Why or why not? Is this a regular Markov process