Jesus wrote:

> Hi, I think one can argue that rotation by 350º and by -10º are the same morphism in \\(\mathbf{Vect}.\\)

Yes. Morphisms in \\(\mathbf{Vect}\\) are linear transformations, and these rotations are the same linear transformation of the plane.

Also note that these rotations are both left _and right_ inverses of rotation by 10º. In short, they are inverses of rotation by 10º. (Remember, 'inverse' means 'left and right inverse'.) In Puzzle 140 we saw that any morphism has at most one inverse. So, rotation by 350º and by -10º can't possibly be different.