Lösung 3.1:1c
Aus Online Mathematik Brückenkurs 2
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Version vom 10:29, 11. Mär. 2009
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\\[5pt] &= 2i+3i^2\\[5pt] &= 2i+3\cdot (-1)\\[5pt] &= 2i-3\\[5pt] &= -3+2i\,\textrm{.} \end{align} |
