IS2012 Homework 5

Due February 11


1. For the Markov matrix below, compute the matrix for 2 steps in the future.
.2  .5  .3
.5  0   .5
.3  .7   0


2. Compute the equilibrium probabilities for the Markov matrix above

3. Compute the entropy of the Markov matrix in #1 and of the adjoint system.