a,b ∈ [MATH] \mathbb C[/MATH]
|a + b|[MATH]^2[/MATH] = |a|[MATH]^2 + |b|^2 +\bar ab\ + a\bar b [/MATH]
Having trouble with this one.
Anyone care to walk me through it?
Also on a side note, is the square of a complex number necessarily positive. I'm thinking it isn't but I don't have a proof or anything. Is there any way to order imaginary numbers? is i>2i ?
|a + b|[MATH]^2[/MATH] = |a|[MATH]^2 + |b|^2 +\bar ab\ + a\bar b [/MATH]
Having trouble with this one.
Anyone care to walk me through it?
Also on a side note, is the square of a complex number necessarily positive. I'm thinking it isn't but I don't have a proof or anything. Is there any way to order imaginary numbers? is i>2i ?