Lösung 3.1:1c
Aus Online Mathematik Brückenkurs 2
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| - | < | + | Complex numbers satisfy the same rules of arithmetic as ordinary numbers, with the addition that <math>i^2=-1</math>. The distributivity rule gives that |
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| + | <math>\begin{align}i(2+3i)&=i\cdot 2+i\cdot 3i=2i+3i^2\\ | ||
| + | &=2i+3\cdot (-1)=2i-3\\ | ||
| + | &=-3+2i\end{align}</math> | ||
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Version vom 11:39, 18. Sep. 2008
Complex numbers satisfy the same rules of arithmetic as ordinary numbers, with the addition that \displaystyle i^2=-1. The distributivity rule gives that
\displaystyle \begin{align}i(2+3i)&=i\cdot 2+i\cdot 3i=2i+3i^2\\ &=2i+3\cdot (-1)=2i-3\\ &=-3+2i\end{align}
