Hello, ONLY SOLVE QUESTION (C).

2 points) Consider the following circulant matrix: T0.1 0.2 0.3 0.4 0.4 0.1 0.2 0.3 0.3 0.4 0.1 0.2 0.2 0.3 0.4 0.1 (a) (0.5 points) P is an example of a stochastic matrix. Use the apply() function in R to verify that the row sums add to 1 b) (0.5 points) Use R to compute P" for n 2,3,5,10. Is a pattern emerging? (c) (1 point) Use R to find a nonnegative vector r whose elements sum to 1 and which satisfies (1-pr)x = 0. 2 points) Consider the following circulant matrix: T0.1 0.2 0.3 0.4 0.4 0.1 0.2 0.3 0.3 0.4 0.1 0.2 0.2 0.3 0.4 0.1 (a) (0.5 points) P is an example of a stochastic matrix. Use the apply() function in R to verify that the row sums add to 1 b) (0.5 points) Use R to compute P" for n 2,3,5,10. Is a pattern emerging? (c) (1 point) Use R to find a nonnegative vector r whose elements sum to 1 and which satisfies (1-pr)x = 0