- #1
qbslug
- 24
- 0
What is the motivation behind defining the inner product for a vector space over a complex field as
<v,u> = v1*u1 + v2*u2 + v3*u3
where * means complex conjugate
as opposed to just
<v,u> = v1u1 + v2u2 + v3u3
They both give you back a scalar. The only reason I can see is the special case for <v,v> in which you get a real number but what does that matter.
<v,u> = v1*u1 + v2*u2 + v3*u3
where * means complex conjugate
as opposed to just
<v,u> = v1u1 + v2u2 + v3u3
They both give you back a scalar. The only reason I can see is the special case for <v,v> in which you get a real number but what does that matter.