I am trying to solve a transition matrix type problem.
I have the following system of equations:
0.8x1 + 0 + 0.3x3 = 0.36
0.2x1 + 0.9x2 + 01.x3 = 0.37
0 + 0.1x2 + 0.6x3 = 0.27
I have already put it into a 3x3 matrix and into an equation of form AX = b, where b is vector b =[0.36, 0.37, 0.27].
Part of the problem is to work out the values of x1, x2, x3, as they currently are which are 0.3, 0.3, and 0.4.
The next part we have to find use this same equation to find the same values where the distribution remains the same across the years. From our materials to me that the this can be cal…