(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a)Suppose we know that M^2+M-6I=0 where M is a square matrix. Explain why inverse of M exists, and find inverse of M in terms of M.

b) For A= 0 1 0 calculate A^22. Does the inverse of A exist?

0 0 1

1 0 0

c) Let u be any unit vector in R^n and B=I-uu^T prove that

i) B=B^T

ii) B^2=B

2. Relevant equations

3. The attempt at a solution

For a) I just can't get the subject to be M inverse.

b) I've got A^2 and A^3...

c) I'm a little lost here...

I don't seem to have much handle on this topic so

any help is greatly appreciated,

Charismaztex

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# Question on Matrix inverses

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