Given the powers of a transition matrix T and its square below, find the probability of moving from state C to state A in three transitions AB C А в с A 02 0.3 0.5 T= B 02 0.3 0.5 C 0.1 02 0.7 A 0.15 025 0.60 and T. B 0.15 0.25 0.60 C. 0.13 0.23 0.64 The probability of going from state C to state A in three transitions is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 31E
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Given the powers of a transition matrix T and its square below, find the probability of moving from state C to state A in three transitions.
ABC
A B C
A
0.2 0.3 0,5
A
0.15 0.25 0.60
T= B 0.2 0.3 0.5
and T
= B
0.15 0.25 0.60
C0.1 0.2 0,7
0.13 0.23 0.64
The probability of going from state C to state A in three transitions is
Transcribed Image Text:Given the powers of a transition matrix T and its square below, find the probability of moving from state C to state A in three transitions. ABC A B C A 0.2 0.3 0,5 A 0.15 0.25 0.60 T= B 0.2 0.3 0.5 and T = B 0.15 0.25 0.60 C0.1 0.2 0,7 0.13 0.23 0.64 The probability of going from state C to state A in three transitions is
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