Let A be an n x n matrix and k a scalar. Consider the following two systems: f = A5-

Chapter 9, Problem 25

(choose chapter or problem)

Let A be an n x n matrix and k a scalar. Consider the following two systems: f = A5- dtdc = kAc. dt(I)(II)Show that if 5(f) is a solution of system (I), then c(t) = x(kt) is a solution of system (II). Compare the vector fields of the two systems.

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