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Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 5.6 - Problem 14e
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 5.6 - Problem 14e

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

ISBN: 9780321982384 49

## Solution for problem 14E Chapter 5.6

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

Step 3 of 4

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