1.5.21 Systems of Algebraic Equations
Условие: Решить систему алгебраических уравнений: \[ \left\{\begin{array}{c} 3 x_{1}+2 x_{2}+3 x_{3}+8 x_{4}+13 x_{5}+18 x_{6}=2 \\ x_{1}+3 x_ {2} +2 x_ {3} +6 x_ {4} +10 x_ {5} +15 x_ {6} = 5 \\ 2 x_ {1} +5 x_ {2} +4 x_ {3} +11 x_ {4} +18 x_ {5} +27 x_ {6} = 6 \\ 4 x_ {1} +6 x_ {2} +7 x_ {3} +17 x_ {4} +27 x_ {5} +40 x_ {6} = 1 \ end {array} \ right. \]
Solving Systems of Algebraic Equations by the Methods of Gauss, Jordan-Gauss, Cramer and Using the Inverse Matrix. Homogeneous and non-Homogeneous Systems of Equations.