TeX Quellcode:
\begin{matrix}\vec{v} - 8\vec{w} + 3\vec{u} &=& \begin{pmatrix}38\cr-37\cr24\end{pmatrix} &-& 8\begin{pmatrix}-15\cr36\cr-27\end{pmatrix} &+& 3\begin{pmatrix}-32\cr-2\cr-20\end{pmatrix} \cr \cr &=& \begin{pmatrix}38\cr-37\cr24\end{pmatrix} &+& \begin{pmatrix}-8\cdot \left(-15\right)\cr-8\cdot 36\cr-8\cdot \left(-27\right)\end{pmatrix} &+& \begin{pmatrix}3\cdot \left(-32\right)\cr3\cdot \left(-2\right)\cr3\cdot \left(-20\right)\end{pmatrix} \cr \cr &=& \begin{pmatrix}38\cr-37\cr24\end{pmatrix} &+& \begin{pmatrix}120\cr-288\cr216\end{pmatrix} &+& \begin{pmatrix}-96\cr-6\cr-60\end{pmatrix} \cr \cr &=& \begin{pmatrix}62\cr-331\cr180\end{pmatrix} \end{matrix}