1.5.28 Systems of algebraic equations
condition: Solve the matrix equation \( X \cdot\left(\begin{array}{lll}2 & 7 & 3 \\ 3 & 9 & 4 \\ 1 & 5 & 3\end{array}\right)=\left(\begin{array}{lll}3 & 2 & 1 \\ 2 & 5 & 3 \\ 3 & 4 & 2\end{array}\right) \) using the inverse matrix calculated through the adjoint one. Check the inverse matrix and the solution matrix.
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.