A survey of commuters who work in a large city revealed that 60% of the commuters currently do not use public transportation. However, 8% plan t5o switch to public transportation next year, while 6% of those using public transportation plan to not use it next year.

a)write a transition matrix T that describes this situation
b)what percent of the commuters will use public transportation next year?
c)If the rates of change remain constant from one year to the next, determine the steady state matrix and how long it will take for it to occur.