Find the Determinant [[6,5],[3,4]]

$[\begin{array}{c} 6 & 5 \\ 3 & 4 \end{array}]$

Step 1

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

$6 \cdot 4 - 3 \cdot 5$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $6$ by $4$ .

$24 - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$24 - 15$

Subtract $15$ from $24$ .

$9$