I need to compute e^A for the matrix
A= 0 ∏
where the diagonal are zeros and the other diagonal has pi on top and negative pi on the bottom.
I'm not quite sure where to start.
I don't think so because it is
because the first term is 0 not 1 we must integrate from 1 to infinity not 0 to infinity. But I may be mistaking.
Here are the 10 first terms
(I'm assuming you know how to go about diagonalizing a matrix; if not, there is an article on Wikipedia:
Diagonalizable matrix - Wikipedia, the free encyclopedia.)