Use the age transition matrix L and age distribution vector x1 to find the age distribution vectors x2 and x3. 0 2 2 01 20 1 0 0 4 20 L = 0 1 0 0 X1 = 20 1 0 0 4 20 80

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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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
1
0 0
4
20
L =
0 1
0 0
X =
20
1
0 0
4
20
-
80
X2 =
20
10
X3 =
Then find a stable age distribution vector.
X = t
I ↑
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 1 0 0 4 20 L = 0 1 0 0 X = 20 1 0 0 4 20 - 80 X2 = 20 10 X3 = Then find a stable age distribution vector. X = t I ↑
Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint.
z = x,2 + 12x22; 9×1² + 49x,² = 441
The constrained maximum of
occurs when (x1, x2) =
0,2
and the constrained minimum of 49
occurs when (x1, X2) =
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Transcribed Image Text:Find the maximum and minimum values, and a vector where each occurs, of the quadratic form subject to the constraint. z = x,2 + 12x22; 9×1² + 49x,² = 441 The constrained maximum of occurs when (x1, x2) = 0,2 and the constrained minimum of 49 occurs when (x1, X2) = Need Help? Read It
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