tooyoo wrote:Concerning (d): You should first ask yourself, what the dimension of that vector space is (there is also a difference between complex and real dimension). That way you know, how many basis elements you are looking for.
tooyoo wrote:You're calculation is basically correct. You're missing one important fact about the inner product: On real spaces, the inner product is defined to be symmetric. On complex spaces, it's symmetric after complex conjugation. (You call this a Hermitian inner product.)
<v*,w> = (<w^*,v>)*
When you conjugate one of your expressions, you get the other.
Nice work, by the way.
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