1. For each of the transition matrices given below, list absorbing state(s), and determine the period of each of the states in each Markov chain. (a) P = (d) P = 1120 CLI2L 1434L3 0 ܚ . ܟ ܝ. | ܟ ܝܕ . ܚ 0 00 0 0 0 0 0 3I4LI4 LIABI+ 0 0 (b) P = 1 0 Lo (e) P = 0 1 1 0 0 1333 COLITOLIN 0 0 0 0 0 213 100 0 0 3 00 100 0 -0 WIN 1 0 0 0 0 0 0 00 1 0 0 4|012 TWO O 0 0 0 0 0 (c) P = (f) P = 0 1|2 1|3 OLT20IN +15 O N|TN|TO 120 HINO OLI3 O 0 LI5L4L 1113 2I5

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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1. For each of the transition matrices given below, list absorbing state(s), and determine the period of
each of the states in each Markov chain.
(a) P =
(d) P =
1120
CLI2L
1434L3
0
ܚ . ܟ ܝ. | ܟ ܝܕ . ܚ
0
00
0
0
0
0
0
3I4LI4
LIABI+
0 0
(b) P = 1
0
Lo
(e) P =
0
1
1
0 0
1333
COLITOLIN
0
0 0
0
0
213
100
0
0
3
00 100 0
-0
WIN
1 0 0 0 0
0
0
00
1 0
0
4|012 TWO O
0
0
0
0
0
(c) P =
(f) P =
0
1|2
1|3
OLT20IN
+15
O
N|TN|TO
120
HINO OLI3
O
0
LI5L4L
1113
2I5
Transcribed Image Text:1. For each of the transition matrices given below, list absorbing state(s), and determine the period of each of the states in each Markov chain. (a) P = (d) P = 1120 CLI2L 1434L3 0 ܚ . ܟ ܝ. | ܟ ܝܕ . ܚ 0 00 0 0 0 0 0 3I4LI4 LIABI+ 0 0 (b) P = 1 0 Lo (e) P = 0 1 1 0 0 1333 COLITOLIN 0 0 0 0 0 213 100 0 0 3 00 100 0 -0 WIN 1 0 0 0 0 0 0 00 1 0 0 4|012 TWO O 0 0 0 0 0 (c) P = (f) P = 0 1|2 1|3 OLT20IN +15 O N|TN|TO 120 HINO OLI3 O 0 LI5L4L 1113 2I5
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