Chapter 2, Problem 5P

To determine

The total female population is increasing, decreasing or neither during the first five years if the total population in initial year is $2950$ and for first year is $2926$ and the column matrices $X_2$, $X_3$, $X_4$ and $X_5$ are $X_2=\left[\begin{array}{c}698\\ 125\\ 2072\end{array}\right]$, $X_3=\left[\begin{array}{c}684\\ 126\\ 2036\end{array}\right]$, $X_4=\left[\begin{array}{c}672\\ 123\\ 2003\end{array}\right]$ and $X_5=\left[\begin{array}{c}661\\ 121\\ 1971\end{array}\right]$.