The given matrix is an absorbing stochastic matrix in standard form. Identify R and S and compute the fundamental matrix and the stable matrix 10 0 0.1 0.2 0 10 0.1 0.2 0 0 1 0 0.1 0 0 0 0.5 0 0 0 0 0.3 0.5 0.5 R= (Simplify your answer.) 0.3 0.5 0.1 0.2 S= 0.1 0.2 (Simplify your answer.) 0 0.1 The fundamental matrix is (Simplify your answer.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.5: Markov Chain
Problem 31E
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The given matrix is an absorbing stochastic matrix in standard form. Identify R and S and compute the fundamental matrix and the stable matrix
1 0 0 0.1 0.2
0 1 0 0.1 0.2
0 0 1
0 0.1
0 0 0 0.5
0 0 0 0.3 0.5
0.5
R=
(Simplify your answer.)
0.3 0.5
0.1 0.2
S=
0.1 0.2
(Simplify your answer.)
0 0.1
The fundamental matrix is
(Simplify your answer.)
Transcribed Image Text:The given matrix is an absorbing stochastic matrix in standard form. Identify R and S and compute the fundamental matrix and the stable matrix 1 0 0 0.1 0.2 0 1 0 0.1 0.2 0 0 1 0 0.1 0 0 0 0.5 0 0 0 0.3 0.5 0.5 R= (Simplify your answer.) 0.3 0.5 0.1 0.2 S= 0.1 0.2 (Simplify your answer.) 0 0.1 The fundamental matrix is (Simplify your answer.)
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