I have a continuous Markov Chain with transition matrix $\Bbb P$ and with initial state $X_0=1$ and state space $I=\{1,2,3,4,5\}$ $$\Bbb P= \begin{bmatrix} -3 & 1 & 0 & 1 & 1\\ 0 & -1 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & -3 & 1 \\ 0 & 1 & 0 & 0 & -1 \end{bmatrix}$$
I have to find the discrete skeleton of matrix P,that in my exercise results:$$\begin{bmatrix} 0 & \frac13 & 0 & \frac13 & \frac13\\ \frac13 & 0 & \frac13 & 0 & \frac13 \\ 0 & \frac12 & 0 & 0 & \frac12 \\ \frac12 & 0 & 0 & 0 & \frac12 \\ \frac14 & \frac14 & \frac14 & \frac14 & 0 \end{bmatrix}$$
I searched a lot on internet a good definition and a way to compute the matrix ,but i find nothing.