Input u with corresponding output Au

“Evaluate” this code to see the image of vectors on the unit circle (blue) under the mapping f(u) = Au. You may make whatever edits to the code you like, but will most likely want to limit your changes to ones on the matrix itself, replacing it with another (real) 2-by-2 matrix.

The stepsize for t (set to 0.15) results in the generation of approximately 42 frames for the animation. It seems this is relatively close to predefined limits, for when the stepsize is set to 0.1 (which would generate 63 frames), error messages have been the result.