Find the Determinant [[9,8],[4,6]]

$[\begin{array}{c} 9 & 8 \\ 4 & 6 \end{array}]$

Step 1

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

$9 \cdot 6 - 4 \cdot 8$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $9$ by $6$ .

$54 - 4 \cdot 8$

Multiply $- 4$ by $8$ .

$54 - 32$

Subtract $32$ from $54$ .

$22$