I think I am missing a subtle point of the definition of a inner product. All the texts I have seen state <v,v> >= 0(adsbygoogle = window.adsbygoogle || []).push({});

If you have say:

v=(1,2i)

then <v,v> = -3 (Using the definition where you do the dot product, while conjugating the first term)

This is a negative number and defies the above definition of an inner product.

Is it that (1,2i) is not in an inner product space and therefore doen't have an inner product?

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# Why is <v,v> >= 0 ?

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