The characteristic equation of the coefficient matrix A of the system is Therefore, A has the repeated

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The characteristic equation of the coefficient matrix A of the system

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is

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Therefore, A has the repeated complex conjugate pair 2 ± 3i of eigenvalues. First show that the complex vectors

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form a length 2 chain {v1, v2} associated with the eigenvalue λ = 2 + 3i . Then calculate (as in Problem 33) four independent real-valued solutions of x' = Ax.

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Related Book For  answer-question

Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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