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LU decomposition

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Use LU Decomposition method to solve the following system.

  1. $\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{matrix}\right.$

 

  1. $\left\{\begin{matrix} & x_{1} +x_{2}+3x_{4} =4 \\ & 2x_{1} +x_{2}-x_{3}+x_{4} =1 \\ & 3x_{1} -x_{2}-x_{3}+2x_{4} =-3 \\ &-x_{1} +2x_{2}+3x_{3}-x_{4} =4 \end{matrix}\right.$
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