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

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

Transcribed Image Text:

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