Hello, Yoodle15!

I arrived at the same result.

Find the limiting matrix of the following transitional matrix of an absorbing Markov chain:

. .

I was taught this method . . .

From [1], we have: .

And we have: .

These simplify to: .

. . And we have [2]: . . .

Solve the system of equations: .

Therefore: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

This makes sense if we consider the transition probabilities.

We have three states:

Matrix gives us these probabilities:

. .