Voting Trends At the end of June in a presidential election

Voting Trends At the end of June in a presidential election year, 40% of the voters were registered as liberal, 45% as
conservative, and 15% as independent. Over a 1-month period, the liberals retained 80% of their constituency, while 15%
switched to conservative and 5% to independent. The conservatives retained 70% and lost 20% to the liberals. The
independents retained 60% and lost 20% each to the conservatives and liberals. Assume that these trends continue.
a. Write a transition matrix using this information.
b. Write a probability vector for the initial distribution.
Find the percent of each type of voter at the end of each month.
c. July
d. August e.September
f. October
g. Write the transition matrix for a 2-month period.