Absolutní hodnota komplexního čísla
Urči absolutní hodnotu následujících komplexních čísel:
\large z_3 = \Large \frac{1+\text{i}}{-1-\text{i}}\large
\large z_3=\Large\frac{1+\text{i}}{-1-\text{i}}
\Large\frac{1+\text{i}}{-1-\text{i}}\cdot\frac{-1+\text{\Large i}}{-1+\text{\Large i}}=
\large \Large \frac{-1+\text{i}-\text{i}+\text{i}^2}{1-\text{i}+\text{i}-\text{i}^2}\large = \Large \frac{-2}{2}\large =-1
\large z_3=\Large\frac{1+\text{i}}{-1-\text{i}}
\Large\frac{1+\text{i}}{-1-\text{i}}\cdot\frac{-1+\text{\Large i}}{-1+\text{\Large i}}=
\large \Large \frac{-1+\text{i}-\text{i}+\text{i}^2}{1-\text{i}+\text{i}-\text{i}^2}\large = \Large \frac{-4}{2}\large =-2
\large z_3=\Large\frac{1+\text{i}}{-1-\text{i}}
\Large\frac{1+\text{i}}{-1-\text{i}}\cdot\frac{-1+\text{\Large i}}{-1+\text{\Large i}}=
\large \Large \frac{-1+\text{i}-\text{i}+\text{i}^2}{1-\text{i}+\text{i}-\text{i}^2}\large = \Large \frac{-2}{3}\large =-\frac{2}{3}
\large z_3=\Large\frac{1+\text{i}}{-1-\text{i}}
\Large\frac{1+\text{i}}{-1-\text{i}}\cdot\frac{-1+\text{\Large i}}{-1+\text{\Large i}}=
\large \Large \frac{-1+\text{i}-\text{i}+\text{i}^2}{1-\text{i}+\text{i}-\text{i}^2}\large = \Large \frac{-3}{2}\large =-\frac{3}{2}