Precalculus Examples

$[\begin{array}{c} 2 & - 2 \\ 7 & - 7 \end{array}]$

Step 1

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

$2 \cdot - 7 - 7 \cdot - 2$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2$ by $- 7$ .

$- 14 - 7 \cdot - 2$

Step 2.1.2

Multiply $- 7$ by $- 2$ .

$- 14 + 14$

Step 2.2

Add $- 14$ and $14$ .

$0$