Definition:Negative/Complex Number

Definition
As the Complex Numbers cannot be Totally Ordered, the concept of a negative complex number, relative to a specified zero, is not defined.

However, the negative of a complex number is defined as follows:

Let $z = a + i b$ be a complex number.

Then the negative of $z$ is defined as:
 * $-z = -a - i b$

Examples
The negative of $2 + 3i$ is $-2 - 3i$.

The negative of $4 - 5i$ is $-4 + 5i$.