Question: 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.

the given matrix is of the form

-b |A =

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

Xk+1 = Ax, with x, ||

and classify the origin as a spiral attractor, spiral repeller, or orbital center

-b |A = Xk+1 = Ax, with x, ||

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