I need to compute e^A for the matrix
A= 0 ∏
....-∏ 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.
Thanks
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
-4.934802202
-0.876090073
-2.211352843
-1.976022212
-2.001829103
-1.999899529
-2.000004167
-1.999999864
-2.000000003
-1.999999999
You might consider starting by diagonalizing A--
Notice that
where
(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.)