TeX Quellcode:
\begin{array}{rcl} \left|\lambda\begin{pmatrix}-\frac{4}{9}\cr0\cr\frac{1}{3}\end{pmatrix}\right| &=& \sqrt{{\left(-\dfrac{4}{9}\lambda\right)}^2+{\left(0\lambda\right)}^2 +{\left(\dfrac{1}{3}\lambda\right)}^2} \cr &=& \sqrt{\lambda^2 \left(\dfrac{16}{81}+\dfrac{1}{9}\right)} \cr &=& \left|\lambda\right|\sqrt{\dfrac{25}{81}} \cr &=& \left|\lambda\right|\dfrac{5}{9}\end{array}