1.5.45 Systems of algebraic equations
condition: Solve the matrix equation \( A X=B \), where \[ A=\left(\begin{array}{cc} 4 & 1 \\ 2 & -1 \end{array}\right), B=\left(\begin{array}{ccc} 2 & 1 & 4 \\ 4 & 2 & 1 \end{array}\right) \]
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.