Find the Determinant [[-4,3],[-6,-2]]

$[\begin{array}{c} - 4 & 3 \\ - 6 & - 2 \end{array}]$

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

$determinant [\begin{array}{c} - 4 & 3 \\ - 6 & - 2 \end{array}] = | \begin{array}{c} - 4 & 3 \\ - 6 & - 2 \end{array} |$

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

$(- 4) (- 2) + 6 \cdot 3$

Simplify the determinant.

Tap for more steps…

Simplify each term.

Tap for more steps…

Multiply $- 4$ by $- 2$ .

$8 + 6 \cdot 3$

Multiply $6$ by $3$ .

$8 + 18$

Add $8$ and $18$ .

$26$

Find the Determinant [[-4,3],[-6,-2]]

Download our
App from the store