Step 1 :\(A = \begin{pmatrix} 0 & 2 & 2 & 1 \\ 1 & 0 & -1 & 0 \\ -1 & 1 & 0 & 1 \\ 2 & 0 & 1 & 1 \end{pmatrix}, \mathbf{x} = \begin{pmatrix} x_{1} \\ x_{2} \\ x_{3} \\ x_{4} \end{pmatrix}, \mathbf{b} = \begin{pmatrix} 1 \\ 1 \\ 0 \\ 1 \end{pmatrix} \)
Step 2 :\( \det(A) = \begin{vmatrix} 0 & 2 & 2 & 1 \\ 1 & 0 & -1 & 0 \\ -1 & 1 & 0 & 1 \\ 2 & 0 & 1 & 1 \end{vmatrix} \)
Step 3 :\( \det(A) = 6 \)