1.5.16 Systems of algebraic equations
Condition: Solve the system of linear equations: \[ \left\{\begin{array}{l} -2 x_{2}-3 x_{3}-x_{4}+4 x_{5}=-2 \\ -x_{1}+x_{3}=0 \\ -3 x_{1}-4 x_{2}-2 x_{3}-2 x_{4}+x_{5}=-10 \\ -x_{1}-4 x_{2}-3 x_{3}-x_{4}+2 x_{5}=-7 \end{array}\right. \]
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.