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

Chapter 5, Problem 15E

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QUESTION:

Problem 15E

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

 

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QUESTION:

Problem 15E

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

 

ANSWER:

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 .

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