Title: 01. Complex numbers: Algebraic Form

Kompleksarvud algebralisel kujul

Imaginaarühik, \(i^2=-1\)

\(\color{red}{a}=Re(z)\) - Reaalosa

\(z=\color{red}{a}+i\color{blue}{b}\)

Kui \(a=0\), muutub kompleksarv imaginaararvuks \(i\color{blue}{b}\)

Kui \(b=0\), muutub kompleksarv reaalarvuks \(\color{red}{a}\)

\(\color{blue}{b}=Im(z)\) - Imaginaarosa

Example:

\(z=3+2i\) on kompleksarv kus \(\color{red}{a=3}\) ja \(\color{blue}{b=2}\).

\(z=4-3i\) on kompleksarv kus \(\color{red}{Re(z)=4}\) ja \(\color{blue}{Im(z)=-3}\).