Question: Let A have the properties described in Exercise 1. a. Is the origin an attractor, a repeller, or a saddle point of the dynamical system

Let A have the properties described in Exercise 1.
a. Is the origin an attractor, a repeller, or a saddle point of the dynamical system Xk+1 = Axk?
b. Find the directions of greatest attraction and/or repulsion for this dynamical system.
c. Make a graphical description of the system, showing the directions of greatest attraction or repulsion. Include a rough sketch of several typical trajectories (without computing specific points).

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