- #1
binbagsss
- 1,259
- 11
I'm okay on proving the other properties, just struggling with what to do on this one:
(v,v)≥0, with equality iff v=0,where the inner product is defined as:
z1w*1+iz2w*2
(where * represent the complex conjugate)
My working so far is:
u1u*1+iu2u*2
=u1^2 + iu2^2
(I'm not sure what to do next and how to deal with the i algebriacally. I've done real ones and complex one without an i in the definition,and seem ok with this property for them).Thanks alot, greatly appreaciated =].
(v,v)≥0, with equality iff v=0,where the inner product is defined as:
z1w*1+iz2w*2
(where * represent the complex conjugate)
My working so far is:
u1u*1+iu2u*2
=u1^2 + iu2^2
(I'm not sure what to do next and how to deal with the i algebriacally. I've done real ones and complex one without an i in the definition,and seem ok with this property for them).Thanks alot, greatly appreaciated =].