Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x, and x3. 0 2 2 0 1 80 0 0 4 80 L = 0 0 X1 = 80 0 1 80 0 0 4 20 X2 = 20 20 50 X3 = Then find a stable age distribution vector. X = t 20 20 II

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 19EQ
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Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x, and x3.
0 2 2 0
80
1
0 0
4
80
L =
X1 =
0 1
0 0
80
80
0 0
4
20
X2 =
20
20
50
20
X3 =
Then find a stable age distribution vector.
X = t
20
Transcribed Image Text:Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x, and x3. 0 2 2 0 80 1 0 0 4 80 L = X1 = 0 1 0 0 80 80 0 0 4 20 X2 = 20 20 50 20 X3 = Then find a stable age distribution vector. X = t 20
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