- #1
brydustin
- 205
- 0
I am curious how to derive the (I+N)^-1 = I - N + N^2 - N^3 + ... N^(k-1) + 0
Where N^k = O, because we assume that N is nilpotent.
Actually I'm just supposed to show that the inverse always exists (for my homework), but I'm not asking how to find existence, I want to know how this equation is derived (assuming existence).
Thanks...
Where N^k = O, because we assume that N is nilpotent.
Actually I'm just supposed to show that the inverse always exists (for my homework), but I'm not asking how to find existence, I want to know how this equation is derived (assuming existence).
Thanks...