- #1

- 903

- 5

## Homework Statement

Prove for an operator A that det(e^A) = e^(Tr(A))

## Homework Equations

## 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.