- #1
jaejoon89
- 195
- 0
Why is |z|^2 = z*z?
z = a + ib
z*z = (a - ib)(a + ib) = a^2 + b^2
z^2 = (a + ib)^2 = a^2 + 2iab - b^2
So it must have something to do with the absolute value, but I don't understand what or why.
z = a + ib
z*z = (a - ib)(a + ib) = a^2 + b^2
z^2 = (a + ib)^2 = a^2 + 2iab - b^2
So it must have something to do with the absolute value, but I don't understand what or why.