So using the property(adsbygoogle = window.adsbygoogle || []).push({});

U^{†}U=1

I was able to get

∑u_{ik}u_{jk}*=δ_{ij}

where the sum is over k=1,...,n and u is a complex number.

from this you get n equations when i=j. If i≠j I get n(n-1) equations but in the notes I'm reading from it should be n(n-1)/2. I'm struggling to see where the half comes from, any help would be greatly appreciated.

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# I Calculating the number of real parameters of a unitary matri

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