Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x, and x3. 0 2 2 01 1 4 20 0 0 20 = 7 0 1 X1 0 0 20 0 0 20 5 80 X2 = 20 4 50 20 X3 5 Then find a stable age distribution vector. 16 4 x = t 4 1 4.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x2 and x3.
0 2
2 0
20
0 0
4
20
L =
, X1
0 1
0 0
20
0 0
20
80
5
20
4
50
X3
5
4
Then find a stable age distribution vector.
16
4
x = t
4
1
20
||
Transcribed Image Text:Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x2 and x3. 0 2 2 0 20 0 0 4 20 L = , X1 0 1 0 0 20 0 0 20 80 5 20 4 50 X3 5 4 Then find a stable age distribution vector. 16 4 x = t 4 1 20 ||
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