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Hi,

Ok so i have this question i have have some problem solving (I've done A)

We have two nxn matrixes A and B and it says that A=I-AB

question part A:

prove that A is regular and AB=BA (done this one prety easy)

question part B:

prove that if B is simetrical, so is A

question part C:

Prove that B^3=0 if and only if A=I-B+B^2

Thanks in advance

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MathOverflow is for research questions. Exercises like this belong on math.stackexchange.com or artofproblemsolving.com/Forum/viewforum.php?f=218 , unless they happen to be motivated by things like Lie algebras or representation theory. – darij grinberg Dec 4 2011 at 17:50
oh, Sorry, and thx – Some1 Dec 4 2011 at 17:59
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This looks very much like homework to me. – Angelo Dec 4 2011 at 18:00

closed as too localized by Andres Caicedo, Bruce Westbury, Alain Valette, Angelo, Igor Rivin Dec 4 2011 at 18:02

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