As we know now, complex numbers are made up of a "real" part and an "imaginary" part. We can say that two complex numbers are equal if their real parts are equal and their imaginary parts are equal:


Consider two complex numbers 'v' and 'w':


If, and only if Re(v) = Re(w) AND Im(v) = Im(w)


The addition of two complex numbers is quite straightforward, if we take to complex numbers then to add them we simply total the "real" and "imaginary" parts.


This rearranges to:

If there is anything that a mathematician likes, it is a "rule" or "formula" to generalise any mathematical statement. In the case of the addition of complex numbers we can say the following:




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