Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and X3. 02 20 0 00 4 01 00 0 X2 11 L = 0000 - 0 0 → X₁ = 100 100 100 100

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.
x₂ =
x3 =
L =
x = t
0 2 20
→
0
0 1
00
0000
0000
00
0 0
0
4
X₁ =
100
100
100
100
Then find a stable age distribution vector.
Transcribed Image Text:Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors x₂ and x3. x₂ = x3 = L = x = t 0 2 20 → 0 0 1 00 0000 0000 00 0 0 0 4 X₁ = 100 100 100 100 Then find a stable age distribution vector.
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