Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 02/Hint 1

Let $p_{i,j}$ be the probability of moving to state $i$ if you are in state $j$. Then the transition matrix matrix is defined by $P=[p_{i,j}]$.

When $P$ has a single eigenvector for the eigenvalue $1$, we call the probability eigenvector as the equilibrium probability.