6.Construct the one step transition matrix (Pl) 7. Comment on the one step transition matrix (P) ( hint: Row's sum, Matrix Dimension, values, etc.) 8. Can you describe the system as a discrete-time Markov chain (Markov chain), why?. 9. Write the Initial probability matrix (hint:P) 10.Compute the 2-step transition probability Matrix (P2) Every year, during the March-through-September growing season, a gardener uses a chemical test to check soil condition. Depending on the outcome of the soil test, productivity for the new season can be one of three states: (1) good, (2) fair, and (3) poor. Over the year, the gardener has observed that last year's soil condition impacts current year's productivity. If this year's soil condition is good, there is a 0.5 chance it will not change next year, and a 0.3 chance it will be fair. If this year's soil condition is fair, there is a 0.5 chance it will not change next year, and a 0.4 chance it will be poor. If this year's soil condition is poor, there is a 0.6 chance it will not change next year, and a 0.3 chance it will fair. a