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

Multiple Choice

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

A) $\left[\begin{array}{ll}0.4 & 0.6\end{array}\right]$
B) $\left[\begin{array}{ll}0.6 & 0.4\end{array}\right]$
C) $\left[\begin{array}{ll}0.33 & 0.77\end{array}\right]$
D) $\left[\begin{array}{ll}0.77 & 0.33\end{array}\right]$