Please write a matlab code and solve parts a$-$e

A population has the characteristics below.

I. The maximum life span is $3$ years. The current age distribution is $,$

$80$ for age groups $0-1,1-2$ and $2-3$ years.

II$.$ A total of $80\%$ of the population survives the first year. Of that $80\%,\frac{1}{4}$ survives

their second year.

III. The average number of offspring for each member of the population is $0$ the first

year, $3$ the skcond year, and $6$ the third year.

Find the age transition matrix and use diagonalization to find the population distribution

at year $5$ and a stable age distribution vector.

a$)$ Background and Description

b$)$ Application Problem Setup

c$)$ Solution and Interpretation of Results

d$)$ Conclusion and Lessons Learned

e$)$ References