TeX Quellcode:
\begin{matrix}-10\vec{a} + 5\vec{b} + \vec{c} &=& -10\begin{pmatrix}-\frac{3}{2}\cr\frac{1}{4}\end{pmatrix} &+& 5\begin{pmatrix}1\cr1\end{pmatrix} &+& \begin{pmatrix}-4\cr-9\end{pmatrix} \cr \cr &=& \begin{pmatrix}-10\cdot \left(-\frac{3}{2}\right)\cr-10\cdot \frac{1}{4}\end{pmatrix} &+& \begin{pmatrix}5\cdot 1\cr5\cdot 1\end{pmatrix} &+& \begin{pmatrix}-4\cr-9\end{pmatrix} \cr \cr &=& \begin{pmatrix}15\cr-\frac{5}{2}\end{pmatrix} &+& \begin{pmatrix}5\cr5\end{pmatrix} &+& \begin{pmatrix}-4\cr-9\end{pmatrix} \cr \cr &=& \begin{pmatrix}16\cr-\frac{13}{2}\end{pmatrix} \end{matrix}