ONLY NEED HELP ON PART B AND C. If the initial state is xo=[0.1,0.25,0.65], find the nth state x(n).

(1 point) Consider the transition matrix 0.5 0.5 0.5 P0.3 0.3 0.1- 10 0.2 0.2 0.4 a. Find the eigenvalues and corresponding eigenvectors of P. The eigenvalue The eigenvalue 21 The eigenvalue X3- 1/5 corresponds to the eigenvector vi corresponds to the eigenvector v2 corresponds to the eigenvector v3- 0 0.1 | 0.25 | , find the nth state x(n). b. If the initial state is x(0) 0.65 x(n) c. Find lim x(m) lim x(n) n-+00