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Determine the long-run behavior of successive state matrices for the initial state matrix S

For the matrix P shown below, determine the long-run behavior of successive state matrices for the initial state matrix S_0 =[0.3 0.3 0.4 0]

[ _ _ _ _]

(Type integers of decimals. Round to the nearest hundreth as needed)




    A B C D

   A 1 0 0 0
P B 0 1 0 0

   C 0.05 0.1 0.8 0.05

  D 0.15 0.15 0.35 0.35

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