14. This symmetric Markov matrix has zero determinant:
A =
.4 .2 .4
.2 .6 .2
.4 .2 .4
a. What are the eigenvalues of A? 10 pts
b. Find
lim k→∞ A^ku0 with
u0 = [1 0 0]
Can someone please explain Markov matrices to me. Also, how to do part B of this question. I understand A

Question

zarkon · Answer

a) do you know how to find eigenvalues?
b) find the eigenvector corresponding to $\lambda=1$

anonymous · Answer

So a and b are the same question?

zarkon · Answer

not exactly...eigenvalues and eigenvectors are different things

anonymous · Answer

Im sorry I misread that. So from my understanding for B I am solving for C1$$\lambda$$^kX1 ( x1 being the eigenvector) ?

zarkon · Answer

I don't understand what you just typed.

zarkon · Answer

for B you are finding the eigenvector that corresponds to the eigenvalue of 1

zarkon · Answer

that will give you the steady state vector

anonymous · Answer

Ok thank you