the given matrix is of the form . In each case, A can be factored as the product of a

Chapter 4, Problem 4.6.85

(choose chapter or problem)

the given matrix is of the form . In each case, A can be factored as the product of a scaling matrix and a rotation matrix. Find the scaling factor r and the angle of rotation. Sketch the first four points of the trajectory for the dynamical system with and classify the origin as a spiral attractor, spiral repeller, or orbital center.

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