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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- Mar 26th 2008, 09:48 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? - Mar 27th 2008, 02:38 AMOpalg
- Mar 28th 2008, 08:07 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 - Mar 29th 2008, 02:26 AMOpalg