1. The problem statement, all variables and given/known data Prove for an operator A that det(e^A) = e^(Tr(A)) 2. Relevant equations 3. The attempt at a solution I have no idea how to start. Can someone give me a hint? In general the operator A represented by a square matrix, has a trace Tr(A) = Ʃ A (nn) where A (nn) is the nth row nth column. I don't know how to write the determinant in such a form that's understandable to myself and don't know how to compare them.