Determinant of a matrix is equal to [tex]\boldsymbol{0}[/tex]
Define matrix.
A matrix is a rectangular array in which elements are arranged in rows and columns.
The determinant is just a scalar quantity that functions as a function of a square matrix entries.
[tex]\left | \begin{matrix} -1 & -1 & -1 \\ -1 &-1 &-1 \\ 3 & 2 & 1 \end{matrix} \right |=-1(-1+2)+1(-1+3)-1(-2+3)[/tex]
[tex]=-1+2-1\\=\boldsymbol{0}[/tex]
So, determinant of a coefficient matrix is equal to [tex]\boldsymbol{0}[/tex]
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