You are given a transition matrix P and initial distribution vector v. P=0.4 0.6 (a) Find the two-step transition matrix. 1 0.16 |× 0.84 (b) Find the distribution vectors after one step. 0.4 0.6 Find the distribution vectors after two steps. 0.16 |× 0.84 |× ] Find the distribution vectors after three steps. ]× ] 0.064 0.936

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 34E
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You are given a transition matrix P and initial distribution vector v.
1 0
V =
P =
0.4 0.6
(a) Find the two-step transition matrix.
1
0.16
0.84
(b) Find the distribution vectors after one step.
0.4
0.6
Find the distribution vectors after two steps.
0.16
|× 0.84
]× ]
Find the distribution vectors after three steps.
]× ]
0.064
0.936
Transcribed Image Text:You are given a transition matrix P and initial distribution vector v. 1 0 V = P = 0.4 0.6 (a) Find the two-step transition matrix. 1 0.16 0.84 (b) Find the distribution vectors after one step. 0.4 0.6 Find the distribution vectors after two steps. 0.16 |× 0.84 ]× ] Find the distribution vectors after three steps. ]× ] 0.064 0.936
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