Write Down the Transition Matrix Associated with the State Transition

Write down the transition matrix associated with the state transition diagram.

A) The transition matrix is $\left[ \begin{array} { c c c } 0 & \frac { 1 } { 2 } & \frac { 1 } { 2 } \\\frac { 1 } { 2 } & 0 & \frac { 1 } { 2 } \\\frac { 1 } { 2 } & \frac { 1 } { 2 } & 0\end{array} \right]$
B) The transition matrix is $\left[ \begin{array} { l l l } 1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{array} \right]$
C) The transition matrix is $\left[ \begin{array} { l l l } 0 & 1 & 0 \\0 & 0 & 1 \\1 & 0 & 0\end{array} \right]$
D) The transition matrix is $\left[ \begin{array} { l l l } 0 & 0 & 1 \\1 & 0 & 0 \\0 & 1 & 0\end{array} \right]$
E) The transition matrix is $\left[ \begin{array} { l l l } 0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0\end{array} \right]$

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