Find the Determinant [[6,8],[0,3]]

$[\begin{array}{c} 6 & 8 \\ 0 & 3 \end{array}]$

These are both valid notations for the determinant of a matrix.

$determinant [\begin{array}{c} 6 & 8 \\ 0 & 3 \end{array}] = | \begin{array}{c} 6 & 8 \\ 0 & 3 \end{array} |$

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

$(6) (3) + 0 \cdot 8$

Simplify the determinant.

Simplify each term.

Multiply $6$ by $3$ .

$18 + 0 \cdot 8$

Multiply $0$ by $8$ .

$18 + 0$

Add $18$ and $0$ .

$18$