
1.5.25 Systems of algebraic equations
Condition: Solve the matrix equation \( A X=B \), where \( A=\left(\begin{array}{cc}2 & 1 \\ 2 & -1\end{array}\right), B=\left(\begin{array}{ccc}2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right) \).
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.