Find the Equilibrium Vector for the Transition Matrix $\left[\begin{array}{lll}.1 & .1 & .8 \\ .3 & .3 & .4 \\ .4 & .4 & .2\end{array}\right]$

Multiple Choice

Find the equilibrium vector for the transition matrix.
- $\left[\begin{array}{lll}.1 & .1 & .8 \\ .3 & .3 & .4 \\ .4 & .4 & .2\end{array}\right]$

A) $\left[\begin{array}{lll}0.288 & 0.288 & 0.52\end{array}\right]$
B) $\left[\begin{array}{lll}0.17 & 0.29 & 0.54\end{array}\right]$
C) $\left[\begin{array}{lll}0.26 & 0.44 & 0.30\end{array}\right]$
D) $\left[\begin{array}{lll}0.23 & 0.17 & 0.60\end{array}\right]$