Need help with an equation.

• September 30th 2011, 09:23 AM
moljka
Need help with an equation.
Hello,

I need help with the following:

"Verify that Inverse(I + V) = I-0.5V
, provided that V is idempotent"

(I=Identity Matrix)

Moljka.

• September 30th 2011, 10:08 AM
CaptainBlack
Re: Need help with an equation.
Quote:

Originally Posted by moljka
Hello,

I need help with the following:

"Verify that Inverse(I + V) = I-0.5V
, provided that V is idempotent"

(I=Identity Matrix)

Moljka.

Consider:

$(I+V)(I-V/2)$

and the definition of idempotent

CB
• September 30th 2011, 11:11 AM
moljka
Re: Need help with an equation.
Thank you very much! You sir are a gentleman and a scholar.

Kind regards,

Moljka