- #1
Vitani11
- 275
- 3
Homework Statement
Find all components of the matrix eiaB. a is a constant and B is a 3x3 matrix whose first row is 0,0,-i second row is 0,0,0 and third row is i,0,0. The taylor expansion of eiaB gives 1+iaB-a2B2/2! - ...
Homework Equations
The taylor expansion of eiaB gives 1+iaB-a2B2/2! - ...
The Attempt at a Solution
I don't know what to do from here. If this is a diagonal matrix I would be able to multiply each element in B by ia and then raise e to the power of whatever the result is for each element in the matrix, but this doesn't qualify as a diagonal matrix. I have looked online and can't find any resources that speak about raising e to a non-diagonal matrix.