ther it is recurrent or transient, (4) list any absorbing state(s), the states, (6) determine whether it is irreducible, (7) determ 011 OLI O 000- 4 HINO O 0 00 2 0 0 0 L40 LIN 0 1 0 1 (b) [0.5 0.5 0.3 0.6 P = 0 0 0 0 0 0 O O O OL 00 0.1 0 1 0 0 0 0 1

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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8. For each of the following (one-step) transition matrices of a Markov chain (MC), answer the
following questions. (1) draw the state transition diagram, (2) determine the classes, (3) for each
class determine whether it is recurrent or transient, (4) list any absorbing state(s), (5) determine
the period of each of the states, (6) determine whether it is irreducible, (7) determine whether it
is ergodic.
(a) P =
(b) P
[0
1 0
0 0 1 0
0
0 0 1
[1
го
O O O NIE
000
0
00
O O OLIN
OMITHIN TO O
1 0
0
0
3
4
0 0 0
0
OĐITO
000
OONIE
00
0
0
NITOATA
0
0
(b)
P =
[0.5 0.5 0
0.3
0.6
0.1
0
0
0
0 1
0
0
0
0
0 0
0
0
0
0
1
1 0-
TOO
0
Transcribed Image Text:8. For each of the following (one-step) transition matrices of a Markov chain (MC), answer the following questions. (1) draw the state transition diagram, (2) determine the classes, (3) for each class determine whether it is recurrent or transient, (4) list any absorbing state(s), (5) determine the period of each of the states, (6) determine whether it is irreducible, (7) determine whether it is ergodic. (a) P = (b) P [0 1 0 0 0 1 0 0 0 0 1 [1 го O O O NIE 000 0 00 O O OLIN OMITHIN TO O 1 0 0 0 3 4 0 0 0 0 OĐITO 000 OONIE 00 0 0 NITOATA 0 0 (b) P = [0.5 0.5 0 0.3 0.6 0.1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0- TOO 0
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