Chapter 3.7, Problem 40EQ

To determine

$\begin{array}{l}\text{A population with four age classes has a Leslie matrix L = }\left[\begin{array}{cccc}0& 1& 2& 5\\ 0.5& 0& 0& 0\\ 0& 0.7& 0& 0\\ 0& 0& 0.3& 0\end{array}\right].\\ {\text{If the initial population vector is x}}_0=\left[\begin{array}{c}10\\ 10\\ 10\\ 10\end{array}\right],{\text{ compute x}}_1,{\text{ x}}_2,{\text{ and x}}_{3.}\end{array}$