Given:
[tex]\begin{gathered} -12x-13y+13z=15 \\ 7x-10y-3z=11 \\ 7x+14y+5z=-5 \end{gathered}[/tex]The above equations can be represented in matrix form. The matrix form of the above system of equations is,
[tex]\begin{bmatrix}{-12} & {-13} & {13} \\ {7} & {-10} & {-3} \\ {7} & {14} & {5}\end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {z} & {} & {}\end{bmatrix}=\begin{bmatrix}{15} & {} & {} \\ {11} & {} & {} \\ {-5} & {} & {}\end{bmatrix}[/tex]