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

Multiple Choice

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

A) $\left[\begin{array}{ll}0.471 & 0.529\end{array}\right]$
B) $\left[\begin{array}{ll}0.529 & 0.471]\end{array}\right.$
C) $\left[\begin{array}{ll}0.429 & 0.571]\end{array}\right.$
D) $\left[\begin{array}{ll}0.571 & 0.429\end{array}\right]$