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Lonely Lemon
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Homework Statement
If A is an nxn matrix such that A^3 = 0 (the zero matrix) then (I-A)^-1 = ...?
A. not invertible
B. I+A^2
C. I-A
D. I+A
E. I+A+A^2
Homework Equations
The Attempt at a Solution
I just don't know how to work out what the inverse of (I-A) is if I know A^3... how is this even helpful?? It's a multichoice question and apparently the answer is 'E'