Exercise 1

Which of the following matrices are stochastic matrices?

a) $\left[ \begin{array}{rr} .25&.75\\ .75&.15\\ \end{array} \right]$

b) $\left[ \begin{array}{rr} 2/7&2/5\\ 4/7&3/5\\ \end{array} \right]$

c) $\left[ \begin{array}{rr} .5&.85\\ .5&.15\\ \end{array} \right]$

d) $\left[ \begin{array}{rr} 0&1\\ 1&0\\ \end{array} \right]$