Question

Gven the system of equations, what is the value of the system determinant? 2x+y 8 X-y 10

Answer 1

$\begin{gathered} 2x+y=8 \\ x-y=10 \end{gathered}$

This system can be written as the next matrix

$\begin{bmatrix}{2} & {1} & {8} \\ {1} & {-1} & {10} \\ {} & {} & {}\end{bmatrix}$

The determinant of the homogeneous system is