Solved: In this problem we indicate how to show that the trajectories are ellipses when
Chapter 9, Problem 19(choose chapter or problem)
In this problem we indicate how to show that the trajectories are ellipses when the eigenvalues are pure imaginary. Consider the system x y = a11 a12 a21 a22 x y . (i) (a) Show that the eigenvalues of the coefficient matrix are pure imaginary if and only if a11 + a22 = 0, a11a22 a12a21 > 0.
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