Answered

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Now, interpret the entries of matrix A.

A. The sum of the entries of the ith row of A gives the expected number of steps before absorption into absorbing state i when the process begins in nonabsorbing state j.
B. Consider the entry in the ith row, ith column of A. Suppose that an object begins in state j. Then the entry gives the probability that it ends up in state i after one period.
C. The sum of the entries of the ith column of A gives the expected number of steps before absorption when the process begins in nonabsorbing state j.
D. Consider the entry in the ith row, ith column of A. Suppose that an object begins in state j. Then the entry gives the expected number of steps before arriving in state i.

Sagot :

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