Suppose we have collected enough data to justify the following assumptions about the population:
<br><br>
(1) Each year 6% of the urban population moves to rural areas and the remaining 94% stay in urban areas.
<br>
(2) Each year 9% of the rural population moves to urban areas and the remaining 91% stay in rural areas.
<br>


<font color=#000000>Assume that the state vector at year k is </font>
<img src="../c3m4/images/c3m41.gif" width=47 height=48 alt="_rtable[137008812]" align=middle>
<font color=#000000> where </font>
<img src="../c3m4/images/c3m42.gif" width=27 height=18 alt="u[k]" align=middle>
<font color=#000000> is the urban population and </font>
<img src="../c3m4/images/c3m43.gif" width=26 height=18 alt="r[k]" align=middle>
<font color=#000000> is the rural population.  </font>

<br><br>
The matrix representing this system is:

<br>(a) Matrix([[.06, .94],[.09, .91]])
<br>(b) Matrix([[.06, .09],[.94, .91]])
<br>(c) Matrix([[.06, .94],[.09, .91]])
<br> (d) Matrix([[.94, .09],[.06, .91]])
<br> (e) Matrix([[.94, .91],[.09, .06]])