You are given a transition matrix P and initial distribution vector v. 6 6 P = 1 5 5 8 8 6 6 (a) Find the two-step transition matrix. 1/6 5/6 5/6 1/6 (b) Find the distribution vector after one step. 1/6 5/8 Find the distribution vector after two steps. 19/144 95/144 X |× ] Find the distribution vector after three steps. 57/432 285/432 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You are given a transition matrix P and initial distribution vector v.
1
5
6.
P =
5
V =
8.
3
1
8.
6.
(a) Find the two-step transition matrix.
1/6
5/6
1/6
5/6
(b) Find the distribution vector after one step.
[
]
1/6
5/8
Find the distribution vector after two steps.
19/144
95/144
Find the distribution vector after three steps.
57/432
285/432
Transcribed Image Text:You are given a transition matrix P and initial distribution vector v. 1 5 6. P = 5 V = 8. 3 1 8. 6. (a) Find the two-step transition matrix. 1/6 5/6 1/6 5/6 (b) Find the distribution vector after one step. [ ] 1/6 5/8 Find the distribution vector after two steps. 19/144 95/144 Find the distribution vector after three steps. 57/432 285/432
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