Regarding a transition matrix which possesses an absorbing state:
A)All row values will not sum to 1.
B)There will be a complementary absorbing state.
C)At least two columns will be identical.
D)That state's row will consist of a "1" and "0's".

Question

Quizplus · Accepted Answer

In a transition matrix with an absorbing state, there will be a row (corresponding to the absorbing state) consisting of a "1" in the diagonal entry and "0's" in all other entries. This is because once the system reaches the absorbing state, it stays there forever. All other rows in the matrix will sum to 1 because they represent the probabilities of transitioning to different states, but the row corresponding to the absorbing state will not sum to 1. There may or may not be a complementary absorbing state, and it is possible for two or more columns to be identical, but these are not guaranteed.

Regarding a Transition Matrix Which Possesses an Absorbing State