Find the equilibrium vector for the transition matrix below. 3 4 4 1 4 5 5 Let V = [v, v2] be the equilibrium vector. Find the system of equations that needs to be solved to find V. A. 1 1 В. 1 1 41 * 52 =V1 4V1 * 52 = V1 3 4 + 3 4 4V1* 52 = V2 V1 + v2 = 1 4V1* 5V2 = V2 V1 + v2 = 0 O D. 1 4V1 * 7V2 =V1 C. 1 3 4V1 +7V2 = v1 1 4 1 4 51*52 = V2 V1 + v2 = 1 51*52 =V2 V1 + v2 = 1 + + The equilibrium vector is (Type an integer or simplified fraction for each matrix element.) 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 23EQ
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What is the equilibrium vector?

Find the equilibrium vector for the transition matrix below.
3
4 4
1
4
5 5
Let V = [v, v2] be the equilibrium vector. Find the system of equations that needs to be solved to find V.
A. 1
1
В.
1
1
41 * 52 =V1
4V1 * 52 = V1
3
4
+
3
4
4V1* 52 = V2
V1 + v2 = 1
4V1* 5V2 = V2
V1 + v2 = 0
O D. 1
4V1 * 7V2 =V1
C. 1
3
4V1 +7V2 = v1
1
4
1
4
51*52 = V2
V1 + v2 = 1
51*52 =V2
V1 + v2 = 1
+
+
The equilibrium vector is
(Type an integer or simplified fraction for each matrix element.)
3.
Transcribed Image Text:Find the equilibrium vector for the transition matrix below. 3 4 4 1 4 5 5 Let V = [v, v2] be the equilibrium vector. Find the system of equations that needs to be solved to find V. A. 1 1 В. 1 1 41 * 52 =V1 4V1 * 52 = V1 3 4 + 3 4 4V1* 52 = V2 V1 + v2 = 1 4V1* 5V2 = V2 V1 + v2 = 0 O D. 1 4V1 * 7V2 =V1 C. 1 3 4V1 +7V2 = v1 1 4 1 4 51*52 = V2 V1 + v2 = 1 51*52 =V2 V1 + v2 = 1 + + The equilibrium vector is (Type an integer or simplified fraction for each matrix element.) 3.
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