Find the equilibrium vector for the transition matrix.
-$\left[\begin{array}{rrr} 0.42 & 0.15 & 0.43 \
0 & 0.73 & 0.27 \
0 & 0 & 1
\end{array}\right]$
A) $\left[\begin{array}{lll}0 & 0 & 1\end{array}\right]$
B) $\left[\begin{array}{lll}0 & 1 & 0\end{array}\right]$
C) $\left[\begin{array}{lll}0 & .5 & .5\end{array}\right]$
D) $\left[\begin{array}{lll}1 & 0 & 0\end{array}\right]$

Question

Quizplus · Accepted Answer

The third row of the transition matrix is $[0, 0, 1]$, indicating that once the system reaches state 3, it remains there. Thus, the equilibrium vector is $[0, 0, 1]$.

Find the Equilibrium Vector for the Transition Matrix [0.420.150.4300.730.27001]\left[\begin{array}{rrr} 0.42 & 0.15 & 0.43 \\0 & 0.73 & 0.27 \\0 & 0 & 1\end{array}\right]​0.4200​0.150.730​0.430.271​​

Find the Equilibrium Vector for the Transition Matrix $\left[\begin{array}{rrr} 0.42 & 0.15 & 0.43 \\0 & 0.73 & 0.27 \\0 & 0 & 1\end{array}\right]$