The state of the system is defined by the proportions of population with a particular characteristic.
1. Use the characteristic polynomial of $\boldsymbol{T}$ to find its eigenvalues.$\lambda_{1}=$ , $\lambda_{2}$=
2. Find the corresponding eigenvectors of $\boldsymbol{T}$ .$x_1$ = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a = b = $x_2$ = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a = b =
3. Hence find the steady state matrix s of the system. s = $\left[\begin{array}{l}
a \\
b
\end{array}\right] $ a = b =
