Hey everyone i have no clue how to solve this one, please help.

If B is any nilpotent matrix prove that I-B is invertible and find a formula for (I-B)^-1 in terms of powers of B?

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- March 26th 2008, 08:48 PMTrevKNilpotent Matrix
Hey everyone i have no clue how to solve this one, please help.

If B is any nilpotent matrix prove that I-B is invertible and find a formula for (I-B)^-1 in terms of powers of B? - March 27th 2008, 01:38 AMOpalg
- March 28th 2008, 07:07 PMTrevK
Thanks for your help but i still don't really understand how to find a formula for (I-B)^-1 in terms of powers of B. What do you mean by the series is a

**finite sum**because of the nilpotency??

Thanks trev - March 29th 2008, 01:26 AMOpalg