Precalculus Examples

$C = [\begin{array}{c} - 1 & 0 \\ 2 & - 2 \end{array}]$

Step 1

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

$- - 2 - 2 \cdot 0$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 1$ by $- 2$ .

$2 - 2 \cdot 0$

Step 2.1.2

Multiply $- 2$ by $0$ .

$2 + 0$

Step 2.2

Add $2$ and $0$ .

$2$