Find  X2  (the probability distribution of the system after two observations) for the distribution vector  X0  and the transition matrix T. X0 =    0.9   0.1,   T =    0.1 0.6   0.9 0.4  X2 =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 1EQ
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Find 
X2
 (the probability distribution of the system after two observations) for the distribution vector 
X0
 and the transition matrix T.
X0 = 
 
0.9
 
0.1
,   T = 
 
0.1 0.6
 
0.9 0.4
 
X2 =
     
     
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