1.5.4 Systems of algebraic equations

Problem: Solve the matrix equation \( A X=B \), where \[ A=\left(\begin{array}{cccc} 0 & -5 & 0 & -2 \\ 2 & 1 & 1 & -4 \\ 0 & 0 & -5 & -1 \\ -1 & 1 & -3 & 2 \end{array}\right), B=\left(\begin{array}{c} -2 \\ -2 \\ -1 \\ 1 \end{array}\right) . \]