Let $\displaystyle A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} $. Write A as a composition of primitive linear diffeomorphisms.
I want to make sure that I understand this question properly. Are they saying to find a composition of linear transformations that are primitive diffeomorphisms, such that the matrix representation of the composition is equal to A?
