6. A system with 4 states (A,B,C,D) has a transition matrix given by: [0.1 0.3 0.4 0.5] 0.2 0.3 0.2 0.1 0 0.3 0.2 0.1 0.7 0.1 0.2 0.2 Represent the possible transitions for this system using a diagram (i.e. a graph). (a) (b) (c) If the initial state vector for this system is so 0 find $2. 0.5 Determine if it's possible that a steady state vector exists for this system.
6. A system with 4 states (A,B,C,D) has a transition matrix given by: [0.1 0.3 0.4 0.5] 0.2 0.3 0.2 0.1 0 0.3 0.2 0.1 0.7 0.1 0.2 0.2 Represent the possible transitions for this system using a diagram (i.e. a graph). (a) (b) (c) If the initial state vector for this system is so 0 find $2. 0.5 Determine if it's possible that a steady state vector exists for this system.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
H9.
![6. A system with 4 states (A,B,C,D) has a transition matrix given by:
[0.1
0.3 0.4 0.5]
0.3 0.2 0.1
0.2
(a)
(b)
(c)
0 0.3 0.2 0.1
[0.7 0.1 0.2 0.2
Represent the possible transitions for this system using a diagram (i.e. a graph).
[0.57
0
If the initial state vector for this system is so =
7
find $2.
0.5
Determine if it's possible that a steady state vector exists for this system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2aee9b10-257e-4c23-977e-5246eb091945%2F4f6b3fb4-41fe-4544-9843-1b2040e8a165%2Fslyzk9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. A system with 4 states (A,B,C,D) has a transition matrix given by:
[0.1
0.3 0.4 0.5]
0.3 0.2 0.1
0.2
(a)
(b)
(c)
0 0.3 0.2 0.1
[0.7 0.1 0.2 0.2
Represent the possible transitions for this system using a diagram (i.e. a graph).
[0.57
0
If the initial state vector for this system is so =
7
find $2.
0.5
Determine if it's possible that a steady state vector exists for this system.
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