Chapter 10.2, Problem 38E

a.

To determine

To prove: $1$ and $p+q+1$ are Eigen values of the matrix $P$ .

b.

To determine

To find: The values of $p$ and $q$ for which the matrix $P$ is not regular.

c.

To determine

To find: Steady-state vector of $P=\left[\begin{array}{cc}p& 1-q\\ 1-p& q\end{array}\right]$ .