Diffeomorphisms homework problem

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Homework Statement



Let [tex] A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} [/tex]. Write A as a composition of primitive linear diffeomorphisms.


Homework Equations





The Attempt at a Solution



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?
 

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