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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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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.
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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