Résoudre {cccc}{10}&{-1}&{2}&{0}{-1}&{11}&{-1}&{3}{2}&{-1}&{10}&{-1}{0}&{3}&{-1}&{8}{l}{x_{1}}{x_{2}}{x_{3}}{x_{4}}={c}{6}{25}{-41}{15}

$$\left( \begin{array} { c c c c } { 10 } & { - 1 } & { 2 } & { 0 } \\ { - 1 } & { 11 } & { - 1 } & { 3 } \\ { 2 } & { - 1 } & { 10 } & { - 1 } \\ { 0 } & { 3 } & { - 1 } & { 8 } \end{array} \right) \left( \begin{array} { l } { x _ { 1 } } \\ { x _ { 2 } } \\ { x _ { 3 } } \\ { x _ { 4 } } \end{array} \right) = \left( \begin{array} { c } { 6 } \\ { 25 } \\ { - 41 } \\ { 15 } \end{array} \right)$$

Calculer x_1, x_2, x_3, x_4

$$x_{1} = \frac{47}{29} = 1\frac{18}{29} \approx 1,620689655$$

$$x_{2} = \frac{54}{29} = 1\frac{25}{29} \approx 1,862068966$$

$$x_{3} = -\frac{121}{29} = -4\frac{5}{29} \approx -4,172413793$$

$$x_{4}=\frac{19}{29}\approx 0,655172414$$