I need to create a 40x40 transition matrix for a board game.

I need to create a 40x40 transition matrix for a board game. Taking into account all possible moves from 2-12 dictated by a pair of fair dice, but it must loop after 40 back to 1 upwards again. I am struggling to compute this in Matlab. I have made one by hand, but inputting 1600 values will take too long so I have tried to make it quickly, however I keep getting errors in all of my commands.

some of what I have been using has been:

m=zeros(40,40)

for i=1:40 m(i,i+2)=... . . . end for all the values of the moves from 2 spaces up to 12 I can't seem to make the transition matrix circular

if anyone could help it would be much appreciated

Answer 1

[Steven Lord]

The 'circul' option for the gallery function may be of use to you.

A = gallery('circul', [1:5 zeros(1, 5)])

If I've guessed right about which board game you're modeling, depending on how simplified or realistic a version you want to model this presentation may be of interest to you.