Complex Addition/Examples/(3 + 2i) + (-7 - i)

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Example of Use of Complex Addition is Commutative

$\paren {3 + 2 i} + \paren {-7 - i} = -4 + i$


Proof

\(\displaystyle \paren {3 + 2 i} + \paren {-7 - i}\) \(=\) \(\displaystyle \paren {3 + \paren {-7} } + \paren {2 + \paren {-1} } i\) Definition of Complex Addition
\(\displaystyle \) \(=\) \(\displaystyle -4 + i\)

$\blacksquare$


Sources