TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & \lambda_1 &+& 3\lambda_2 &+& 11\lambda_3 &=& 0 \cr \text{II} & -\lambda_1 & & &-& 5\lambda_3 &=& 0 \cr \text{III} & \lambda_1 &+& 4\lambda_2 &+& 3\lambda_3 &=& 0 \cr \cr \text{I} & \lambda_1 &+& 3\lambda_2 &+& 11\lambda_3 &=& 0 \cr \text{I+II} & & & 3\lambda_2 &+& 6\lambda_3 &=& 0 \cr \text{I-III} & & & -\lambda_2 &+& 8\lambda_3 &=& 0 \cr \cr \text{I} & \lambda_1 &+& 3\lambda_2 &+& 11\lambda_3 &=& 0 \cr \text{II'} & & & 3\lambda_2 &+&6\lambda_3 &=& 0 \cr \text{II'+3 III'} & & & & & 30\lambda_3 &=& 0 & \Rightarrow \lambda_3 = 0 \cr \cr \text{II'} & & & 3\lambda_2 &+& 6\cdot 0 &=& 0 & \Rightarrow \lambda_2 = 0 \cr \text{I} & \lambda_1 &+& 3 \cdot 0 &+& 11 \cdot 0 &=& 0 & \Rightarrow \lambda_1 = 0 \end{array}