(Solved): Use the transition diagram shown to find S1 and S2 for the initial-state matrix S0=[10 ...

Use the transition diagram shown to find $$S_1$$ and $$S_2$$ for the initial-state matrix $$S_0=\left[\begin{array}{cc}1& 0\end{array}\right]$$. First determine the transition matrix $$P$$. (Type an integer or decimal for each matrix element.) $$S_1=$$ (Type an integer or decimal for each matrix element.) $${\mathrm{S}}_2=$$ (Type an integer or decimal for each matrix element.)