1. ## Matrices transition problem

Write the initial population matrix for the following situation. start using a transion diagram:

A small community has a workforce of 1800 people with 1680 and 120 unemployed. During the course of a one year, 10% of the employed workers will lose their jobs and 60 % of the unemployed will find jobs.

2. Hello, ecdino2!

A small community has a workforce of 1800 people with 1680 and 120 unemployed.
During the course of a one year, 10% of the employed workers will lose their jobs
and 60% of the unemployed will find jobs.

Write the initial polulation matrix.

$A_o \;=\;(1680,\:120)$

Draw a transition diagram.

. . $\begin{array}{cccccc}
& _{0.1} \\
_{0.9}\circlearrowright E & ^{\longrightarrow}_{\longleftarrow} & U \circlearrowleft\:_{0.4} \\
& ^{0.6} \end{array}$

$\text{Transition matrix: }\;A \;=\;\begin{pmatrix}0.9 & 0.1 \\ 0.6 & 0.4\end{pmatrix}$

3. thanks a lot.