Lösung Linearkombination

Zuletzt geändert von Holger Engels am 2024/11/15 22:02
  1. -2\left(\begin{array}{c}1\\0,5\\4\end{array}\right)-4\left(\begin{array}{c}-1\\0,5\\4\end{array}\right)+\frac{1}{2}\left(\begin{array}{c}-2\\-2\\20\end{array}\right)
    =\left(\begin{array}{c}-2\cdot1-4\cdot(-1)+\frac{1}{2}\cdot(-2)\\-2\cdot0,5-4\cdot0,5+\frac{1}{2}\cdot(-2)\\-2\cdot4-4\cdot4+\frac{1}{2}\cdot20\end{array}\right) = \left(\begin{array}{c}1\\-4\\-14\end{array}\right)
  2. \left(\begin{array}{c}1\\2\\3\end{array}\right)-2\left(\begin{array}{c}-2\\2\\0\end{array}\right)+\left(\begin{array}{c}-5\\2\\-3\end{array}\right)=\vec o