TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & -5\lambda_1 &+& \dfrac{1}{3}\lambda_2 &+& \lambda_3 &=& 0 \cr \text{II} & 15\lambda_1 &-& 8\lambda_2 & & &=& 0 \cr \text{III} & 65\lambda_1 & & &-& \lambda_3 &=& 0 \cr \cr \text{I} & -5\lambda_1 &+& \dfrac{1}{3}\lambda_2 &+& \lambda_3 &=& 0 \cr \text{3 I+II} & & & -7\lambda_2 &+& 3\lambda_3 &=& 0 \cr \text{13 I+III} & & & \dfrac{13}{3}\lambda_2 &+& 12\lambda_3 &=& 0 \cr \cr \text{I} & -5\lambda_1 &+& \dfrac{1}{3}\lambda_2 &+& \lambda_3 &=& 0 \cr \text{II'} & & & -7\lambda_2 &+& 3\lambda_3 &=& 0 \cr \text{-4 II'+III'} & & & \dfrac{97}{3}\lambda_2 & & &=& 0 & \Rightarrow \quad \lambda_2 = 0 \quad \Rightarrow \quad \lambda_3 = 0 \quad \Rightarrow \quad \lambda_1 = 0 \end{array}