TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & \lambda_1 &-& 10\lambda_2 &+& 10\lambda_3 &=& 0 \cr \text{II} & -\lambda_1 &-& 5\lambda_2 &-& 2\lambda_3 &=& 0 \cr \text{III} & \lambda_1 &-& 7\lambda_2 &+& 2\lambda_3 &=& 0 \cr \cr \text{I} & \lambda_1 &-& 10\lambda_2 &+& 10\lambda_3 &=& 0 \cr \text{I+II} & & & -15\lambda_2 &+& 8\lambda_3 &=& 0 \cr \text{I-III} & & & -3\lambda_2 &+& 8\lambda_3 &=& 0 \cr \cr \text{I} & \lambda_1 &-& 10\lambda_2 &+& 10\lambda_3 &=& 0 \cr \text{II'} & & & -15\lambda_2 &+& 8\lambda_3 &=& 0 \cr \text{II'-5 III'} & & & & & -32\lambda_3 &=& 0 & \Rightarrow \quad \lambda_3 = 0 \quad \Rightarrow \quad \lambda_2 = 0 \quad \Rightarrow \quad \lambda_1 = 0 \end{array}