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For a linear DDS with multipe equations, assume that A is the matrix of the system with largest eigenvalue c and corresponding eigenvector u. Which of the following is true in the long run? Check all that apply. The long-term growth rate will be given by the largest eigenvalue of A. The long-term growth rate will be given by the smallest eigenvalue of A. The proportions of the age groups stabilize in the long run, but may vary in the beginning. The largest eigenvalue gives the long-term growth rate of the oldest age group only. The long-term proportions of the age groups are given by the proportions in the eigenvector u.

For a linear DDS with multipe equations, assume that A is the matrix of the system with largest eigenvalue c and corresponding eigenvector u. Which of the following is true in the long run? Check all that apply. The long-term growth rate will be given by the largest eigenvalue of A. The long-term growth rate will be given by the smallest eigenvalue of A. The proportions of the age groups stabilize in the long run, but may vary in the beginning. The largest eigenvalue gives the long-term growth rate of the oldest age group only. The long-term proportions of the age groups are given by the proportions in the eigenvector u.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For a linear DDS with multipe equations, assume that A is the matrix of the system with largest eigenvalue c and corresponding eigenvector u. Which of the following is true in the long run? Check all that apply. The long-term growth rate will be given by the largest eigenvalue of A. The long-term growth rate will be given by the smallest eigenvalue of A. The proportions of the age groups stabilize in the long run, but may vary in the beginning. The largest eigenvalue gives the long-term growth rate of the oldest age group only. The long-term proportions of the age groups are given by the proportions in the eigenvector u.
Transcribed Image Text:For a linear DDS with multipe equations, assume that A is the matrix of the system with largest eigenvalue c and corresponding eigenvector u. Which of the following is true in the long run? Check all that apply. The long-term growth rate will be given by the largest eigenvalue of A. The long-term growth rate will be given by the smallest eigenvalue of A. The proportions of the age groups stabilize in the long run, but may vary in the beginning. The largest eigenvalue gives the long-term growth rate of the oldest age group only. The long-term proportions of the age groups are given by the proportions in the eigenvector u.
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