In this problem, we show how small changes in the coefficients of a system of linear equations can affect the nature of a critical point when the eigenvalues are equal. Consider the system
Show that the eigenvalues are
where
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Differential Equations: An Introduction to Modern Methods and Applications
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- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning