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Let V be a Complex Vector Space:

probe that:

[tex] <u\mid v> = \frac {1} {4} (\parallel u + v \parallel ^ 2 - \parallel u - v \parallel ^ 2) - \frac {\imath} {4} (\parallel u + \imath v\parallel ^ 2 - \parallel u - \imath v\parallel ^ 2) \forall u,v [/tex]

Polarization formula.

i've multiplied both sides by 4, then aplicated internal product properties and obtained...

[tex] 4 <u\mid v> = 4 <u\mid v> - \imath 4 u [/tex]

please help!

thank you

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# Simple Demostration

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