Multiplikation komplexer Zahlen
Berechne:
\(\eqalign{ & w = {z_1} \cdot {z_2} \cr & {z_1} = - 2 + 3i \cr & {z_2} = 1 - 2i \cr}\)
Berechne:
\(\eqalign{ & w = {z_1} \cdot {z_2} \cr & {z_1} = - 2 + 3i \cr & {z_2} = 1 - 2i \cr}\)
Berechne:
\(\eqalign{ & w = {z_1} \cdot {z_2} \cr & {z_1} = 3\dfrac{3}{4} + 1\dfrac{1}{2}i \cr & {z_2} = 4\dfrac{1}{4} - 2\dfrac{1}{4}i \cr}\)
Berechne:
\(\eqalign{ & w = {z_1} \cdot {z_2} \cr & {z_1} = (3\sqrt 3 - 3i) \cr & {z_2} = (2\sqrt 3 + 8i) \cr}\)
Berechne:
\(\begin{array}{l}
w = {z_1} \cdot {z_2}\\
{z_1} = (v - 3 \cdot \sqrt 3 \,\,i)\\
{z_2} = (v + 3 \cdot \sqrt 3 \,\,i)
\end{array}\)
Berechne:
\(w = \dfrac{1}{{\overline z }}\)
Zeige:
\(\overline {\left( {\dfrac{1}{z}} \right)} = \dfrac{1}{{\overline z }}\)
Berechne:
\(w = \dfrac{{\left( {z - \overline z } \right)}}{{2i}}\)
Berechne:
\(\eqalign{ & w = {z_1}/{z_2} \cr & {z_1} = 6 - 8i \cr & {z_2} = 2i \cr}\)
Berechne:
\(\eqalign{ & w = {z_1}/{z_2} \cr & {z_1} = 2 - 3i \cr & {z_2} = 3 - 2i \cr}\)
Berechne:
\(w = \dfrac{{i{{(5 + 4i)}^2}}}{{4 - 5i}}\)
Berechne:
\(w = \dfrac{{i{{(6 - 3i)}^2}}}{{3 + 6i}}\)
Berechne:
\(w = \dfrac{{(2 + 4i)}}{{{{(2 - 2i)}^2}}}\)