Find the Equilibrium Vector for the Transition Matrix $\left[\begin{array}{rrr} .80 & .10 & .10 \\)15 & .80 & .05 \\)20 & .70 & .10\end{array}\right]$

Multiple Choice

Find the equilibrium vector for the transition matrix.
- $\left[\begin{array}{rrr} .80 & .10 & .10 \\) 15 & .80 & .05 \\) 20 & .70 & .10\end{array}\right]$

A) $\left[\begin{array}{lll} 1 & 0 & 0\end{array}\right]$
B) $\left[\begin{array}{lll}0.33 & 0.67 & 0\end{array}\right]$
C) $\left[\begin{array}{lll}0.44 & 0.48 & 0.08\end{array}\right]$
D) $\left[\begin{array}{lll}0.33 & 0.40 & 0.27\end{array}\right]$