1.5.23 Systems of algebraic equations
\( \underline{\mathrm{y}_{\text {word: }}} \) Solve the matrix equation using the inverse matrix: \[ A \cdot X=B, A=\left(\begin{array}{ccc} 2 & 1 & 2 \\ 2 & 2 & -3 \\ 5 & 2 & 7 \end{array}\right), B=\left(\begin{array}{ccc} 1 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & -1 & 0 \end{array}\right) \]
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.