1.
Suppose the vectors x1,x2,x3x_1, x_2, x_3 are the solutions of the system of linear equations Ax=bAx = b when the vector bb on the right side is equal to b1,b2,b3b_1, b_2, b_3 respectively. If
x1=(101), x2=(120), x3=(023)x_1 = \begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix},\ x_2 = \begin{pmatrix} 1 \\ 2 \\ 0 \end{pmatrix},\ x_3 = \begin{pmatrix} 0 \\ 2 \\ 3 \end{pmatrix}

and
b1=(000), b2=(020), b3=(002),b_1 = \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix},\ b_2 = \begin{pmatrix} 0 \\ 2 \\ 0 \end{pmatrix},\ b_3 = \begin{pmatrix} 0 \\ 0 \\ 2 \end{pmatrix},

then the determinant of AA is equal to