Algebra Examples

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

Step 1

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

$2 \cdot 3 - 3 \cdot - 2$

Step 2

Simplify the determinant.

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Simplify each term.

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Multiply $2$ by $3$ .

$6 - 3 \cdot - 2$

Multiply $- 3$ by $- 2$ .

$6 + 6$

Add $6$ and $6$ .

$12$