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In Exercises 9–14, classify the origin as an | Ch 5.6 - 14E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 14E Chapter 5.6

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 14E

In Exercises 9–14, classify the origin as an attractor, repeller, or saddle point of the dynamical system Find the directions of greatest attraction and/or repulsion.

Step-by-Step Solution:

Solution 14EStep 1 Consider the following dynamical system: , where .To find the solution for the equation , first find the Eigen values of are the corresponding eigenvectors.Compute the characteristic polynomial of the matrix : The roots of the characteristic polynomial are the Eigen values of the matrix .

Step 2 of 4

Chapter 5.6, Problem 14E is Solved
Step 3 of 4

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

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In Exercises 9–14, classify the origin as an | Ch 5.6 - 14E