The telephone companies and compete for a market, where the market customers in a year are given by the customers-tuple (where is the number of customers of in the year etc.). There are customers passing from one provider to another one during a year.
- The customers of remain for with while of them goes to and the same percentage goes to .
- The customers of remain for with while of them goes to and goes to .
- The customers of remain for with while of them goes to and goes to .
a) Determine the linear map (i.e. the matrix), which expresses the customers-tuple with respect to .
b) Which customers-tuple arises from the customers-tuple within one year?
c) Which customers-tuple arises from the customers-tuple
in four years?