TeX Quellcode:
\begin{matrix}-\dfrac{1}{4} \vec{a} + 12\vec{b} + 9\vec{c} &=& -\dfrac{1}{4}\begin{pmatrix}\frac{16}{3}\cr-8\cr0\end{pmatrix} &+& 12\begin{pmatrix}\frac{19}{4}\cr-2\cr-\frac{17}{2}\end{pmatrix} &+& 9\begin{pmatrix}-\frac{2}{27}\cr\frac{11}{9}\cr-1\end{pmatrix} \cr \cr &=& \begin{pmatrix}-\frac{1}{4}\cdot \frac{16}{3}\cr-\frac{1}{4}\cdot \left(-8\right)\cr-\frac{1}{4} \cdot 0\end{pmatrix} &+& \begin{pmatrix}12\cdot \frac{19}{4}\cr12\cdot \left(-2\right)\cr12\cdot \left(-\frac{17}{2}\right)\end{pmatrix} &+& \begin{pmatrix}9\cdot \left(-\frac{2}{27}\right)\cr9\cdot \frac{11}{9}\cr9\cdot \left(-1\right)\end{pmatrix} \cr \cr &=& \begin{pmatrix}-\frac{4}{3}\cr2\cr0\end{pmatrix} &+& \begin{pmatrix}57\cr-24\cr-102\end{pmatrix} &+& \begin{pmatrix}-\frac{2}{3}\cr11\cr-9\end{pmatrix}\cr \cr &=& \begin{pmatrix}55\cr-11\cr-111\end{pmatrix} \end{matrix}