Consider the system x = Ax, and suppose that A has one zero eigenvalue. (a) Show that x
Chapter 9, Problem 18(choose chapter or problem)
Consider the system x = Ax, and suppose that A has one zero eigenvalue. (a) Show that x = 0 is a critical point and that,in addition, every point on a certain straight line through the origin is also a critical point. (b) Let r1 = 0 and r2 = 0, and let (1) and (2) be corresponding eigenvectors. Show that the trajectories are as indicated in Figure 9.1.8. What is the direction of motion on the trajectories?
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