Svar 3.3:2
Förberedande kurs i matematik 2
| a) | \displaystyle z= \left\{\begin{matrix} \phantom{-}1 \\ -1 \\ \phantom{-}i \\ -i\\ \end{matrix}\right. | b) | \displaystyle z = \left\{\begin{matrix} \frac{1}{2}+\frac{1}{2}\sqrt{3}\,i \\ -1\phantom{{}-\frac{1}{2}\sqrt{3}\,i} \\ \frac{1}{2}-\frac{1}{2}\sqrt{3}\,i \\ \end{matrix}\right. | c) | \displaystyle \displaystyle z=2^{1/10}\exp\Bigl(\frac{\pi i}{4}+\frac{2k\pi i}{5}\Bigr) för \displaystyle \ k=0,1,2,3,4 |
| d) | \displaystyle z= \left\{\begin{matrix} 2+i \\ 2-i \\ \phantom{-}i \\ -i\\ \end{matrix}\right. | e) | \displaystyle z = \left\{\begin{matrix} \phantom{-}1 \\ -1 \end{matrix}\right. |
