Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3. 02 20 1 4 01 00 X2 X3 = L = 0 00 00 E # — 0 , X₁ = 40 40 40 40 Then find a stable age distribution vector. -8 x = t

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
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Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3.
02 20
0
0 0
00
0
X2
X3
||
11
L =
X = t
4
01
0 0
100 0000
↓ 1
, x₁ =
Then find a stable age distribution vector.
0000
40
40
40
40
Transcribed Image Text:Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3. 02 20 0 0 0 00 0 X2 X3 || 11 L = X = t 4 01 0 0 100 0000 ↓ 1 , x₁ = Then find a stable age distribution vector. 0000 40 40 40 40
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