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## Main Question or Discussion Point

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.....