Homework SourseLet A 12 13 15 14 13 25 14 13 25 be a transition matrix for
Let A= [1/2 1/3 1/5] [1/4 1/3 2/5] [1/4 1/3 2/5] be a transition matrix for a Markov process.
A). Compute det(A) and trace(A) and make use of those values to determine the eigenvalues of A.
B). Explain why the Markov process must converge to a steady-state vector.
C). Show that y=(16,15,15)T is an eigenvector of A. How is the steady-state vector related to y?
Solution
![Let A= [1/2 1/3 1/5] [1/4 1/3 2/5] [1/4 1/3 2/5] be a transition matrix for a Markov process. A). Compute det(A) and trace(A) and make use of those values to de](/WebImages/22/let-a-12-13-15-14-13-25-14-13-25-be-a-transition-matrix-for-1053479-1761549197-0.webp "Let A= [1/2 1/3 1/5] [1/4 1/3 2/5] [1/4 1/3 2/5] be a transition matrix for a Markov process. A). Compute det(A) and trace(A) and make use of those values to de")
