Determinant of $\left[\begin{array}{cc}6 & 7\\8 & 9\end{array}\right]$

Calculate $\left|\begin{array}{cc}6 & 7\\8 & 9\end{array}\right|$.

The determinant of a 2x2 matrix is $\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$.

$\left|\begin{array}{cc}6 & 7\\8 & 9\end{array}\right| = \left(6\right)\cdot \left(9\right) - \left(7\right)\cdot \left(8\right) = -2$

$\left|\begin{array}{cc}6 & 7\\8 & 9\end{array}\right| = -2$A