Prove that {u,v}=0 for all v belongs to V iff u=0.

{u,v}= u*v, where u* is conjugate of u

If u=0 then {u,v} is obviously 0.

now im not sure how to prove it the other way

If {u,v}=0 then u=0

u*v=0...

Thanks in advance

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- Mar 16th 2010, 08:27 PMfirebioInner product space proof question
Prove that {u,v}=0 for all v belongs to V iff u=0.

{u,v}= u*v, where u* is conjugate of u

If u=0 then {u,v} is obviously 0.

now im not sure how to prove it the other way

If {u,v}=0 then u=0

u*v=0...

Thanks in advance - Mar 16th 2010, 08:31 PMtonio
- Mar 16th 2010, 08:33 PMDrexel28