Question 1 (Markov Process) Suppose that the 2005 state of land use in a city of 70 miles2 of built-up area is C: Commer
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Question 1 (Markov Process) Suppose that the 2005 state of land use in a city of 70 miles2 of built-up area is C: Commercially Used 20% I: Industrial Used 15% R: Residentially Used 65% (a) Find the states in 2010, 2015 and 2020, assuming that the transition probabilities for 5- year intervals are given by the matrix A and remain practically the same over the time considered. From C From 1 From R 10.6 0.1 0.2 to C A= 0.4 0.1 0.4 to I 0 0.8 0.41 to R (6) Write a program for a Markov process. Use it to calculate further steps in (a). c) Find eigenvalue and eigenvector, then estimate the ratio C:I:R.
Question 1 (Markov Process) Suppose that the 2005 state of land use in a city of 70 miles2 of built-up area is C: Commercially Used 20% I: Industrial Used 15% R: Residentially Used 65% (a) Find the states in 2010, 2015 and 2020, assuming that the transition probabilities for 5- year intervals are given by the matrix A and remain practically the same over the time considered. From C From 1 From R 10.6 0.1 0.2 to C A= 0.4 0.1 0.4 to I 0 0.8 0.41 to R (6) Write a program for a Markov process. Use it to calculate further steps in (a). c) Find eigenvalue and eigenvector, then estimate the ratio C:I:R.