Say I have 2 complex (normalized) column vectors x and y in C^N:(adsbygoogle = window.adsbygoogle || []).push({});

The standard dot product <x,y> = x*y (where * denotes conjugate transpose) gives me a "measure of orthogonality" of the two vectors.

Now the bilinear product (c,y) = x'y (' denotes transpose) seems to give another "measure of orthogonality" for a somehow 'weaker' notion of orthogonality..

Can somebody point me in any direction to better grasp this concept, i'm having a hard time understanding this second "measure" ?

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# Dot/bilinear product in C^n / Orthogonality

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