Find the Determinant [[4,8],[5,6]]

$[\begin{array}{c} 4 & 8 \\ 5 & 6 \end{array}]$

Step 1

The determinant of a $2 \times 2$ matrix can be found using the formula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$4 \cdot 6 - 5 \cdot 8$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $4$ by $6$ .

$24 - 5 \cdot 8$

Multiply $- 5$ by $8$ .

$24 - 40$

Subtract $40$ from $24$ .

$- 16$