Properties of system


Question:

Properties of system du/dt=Au

Let

A = ( a -1     3  )
      (   1      a+1)

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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Algebra: Properties of system
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