Complex Addition/Examples/(-1 + 4i) + (2 - 7i)

Example of Complex Addition

$\paren {-1 + 4 i} + \paren {2 + \paren {-7} i} = 1 + \paren {-3} i$

Proof

\(\ds \paren {-1 + 4 i} + \paren {2 + \paren {-7} i}\)

\(=\)

\(\ds \paren {-1 + 2} + \paren {4 + \paren {-7} } i\)

Definition of Complex Addition

\(\ds \)

\(=\)

\(\ds 1 + \paren {-3} i\)

$\blacksquare$

Sources

• 1960: Walter Ledermann: Complex Numbers ... (previous) ... (next): $\S 1.2$. The Algebraic Theory