Category:Definitions/Complex Multiplication

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This category contains definitions related to Complex Multiplication.
Related results can be found in 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:

$\paren {a + i b} \times \paren {c + i d} = \paren {a c - b d} + i \paren {a d + b c}$