Can someone offer me the answer for this question?

Some years, some Champaign county farmers rotate their crops among corn, soybeans, or wheat. Half of those growing corn one year continue growing corn, whereas the other half switch to soy- beans. Of those growing soybeans, half continue the next year, whereas the other half switch to wheat. Out of the wheat growers, half continue growing wheat the next year, a quarter switch to corn, and a quarter switch to soybeans. (1) Set up a stochastic matrix A encoding the Markov process described. (2) If in the year 2020 all of the Champaign county farmers grew corn, what are the percentages of corn, soy, and wheat growers, respectively, in the year 2022? Give your answer in terms of the matrix A and a probability vector of your choice