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 | 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 | ||
| - | {{ | + | {{Abgesetzte Formel||<math>\begin{align} |
i(2+3i) | i(2+3i) | ||
&= i\cdot 2 + i\cdot 3i\\[5pt] | &= i\cdot 2 + i\cdot 3i\\[5pt] | ||
Version vom 13:05, 10. 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} |
