A mental-health facility rates patients on their ability to live on their own. The state of a

Question:

A mental-health facility rates patients on their ability to live on their own. The state of a person's health is "able to work and considered cured (C)," or "long-term hospitalization or death (L)," or "group home (G)," or "short term hospital care (S)." The stochastic matrix shown here describes the transitions from month to month. Use the fundamental matrix to determine the expected number of months spent in state G or S before being absorbed into state C or L.