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Properties of system du/dt=Au

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Let [equation attached]. Circle the letters corresponding to the statements that are true for the system du/dt = Au.
A. The system is unstable when a > 0.
B. The system is stable when a < O.
C. The system is neutrally stable when a = -2.
D. The system is neutrally stable when a = 2.
E. Trajectories of the system oscillate when -2 < a < 2.

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The properties of systems du/dt=Au is determined.

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The matrix is:
(1.1)
The eigenvalues are:

(1.2)
We use the eigenvalues to determine the stability of the solution according to:
1. The system is asymptotically stable if both real parts of the ...

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