1. The problem statement, all variables and given/known data Let A be 2x2 and det(A)=1 and entries in R. Suppose A does not have any real eigenvalues. Then prove there exists a B st B is 2x2, det(B)=1 and BAB^-1=[cos(x),sin(x),-sin(x),cos(x)] for some x. 3. The attempt at a solution I'm not sure how to start this proof. Any help would be appreciated.