Consider a human population that is divided into five age classes: those aged 0–15 years, those aged 15–30 years, those aged 30–45 years, those aged 45–60 years, and those aged 60–75 years. The Leslie matrix for the female population is given by L =

⎛

⎜⎜⎜⎜⎝

0 1 1.5 0 0 0.9 0 0 0 0 0 0.8 0 0 0 0 0 0.7 0 0 0 0 0 0.5 0

⎞

⎟⎟⎟⎟⎠

.

Determine the eigenvalues and eigenvectors of L and describe how the population distribution develops.