Precalculus Examples

$[\begin{array}{c} 10 & 0.2 \\ 5 & 0.1 \end{array}]$

Step 1

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

$10 \cdot 0.1 - 5 \cdot 0.2$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $10$ by $0.1$ .

$1 - 5 \cdot 0.2$

Step 2.1.2

Multiply $- 5$ by $0.2$ .

$1 - 1$

Step 2.2

Subtract $1$ from $1$ .

$0$