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eigenvector for A, and two eigenvalues are .5 and .2.

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 15E 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 15E

Problem 15E

eigenvector for A, and two eigenvalues are .5 and .2. Construct the solution of the dynamical system

 

Step-by-Step Solution:

Solution  15E

Step 1 of 15

Consider the following dynamical system:

,

where  and satisfies the condition .

Let  be the Eigenvector for Eigenvalue  of the matrix .

Thus,  satisfies the equation .

Step 2 of 8

Chapter 5.6, Problem 15E is Solved
Step 3 of 8

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

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eigenvector for A, and two eigenvalues are .5 and .2.