Category:Complex Multiplication

The multiplication operation in the domain of complex numbers $\C$ is written $\times$.
Let $z = a + i b, w = c + i d$ where $a, b, c, d \in \R$.
Then $z \times w$ is defined as:
$\paren {a + i b} \times \paren {c + i d} = \paren {a c - b d} + i \paren {a d + b c}$