Finite Math Examples

$[\begin{array}{c} 0 & 9 \\ - 5 & 2 \end{array}]$

Step 1

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

$0 \cdot 2 - (- 5 \cdot 9)$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $0$ by $2$ .

$0 - (- 5 \cdot 9)$

Step 2.1.2

Multiply $- (- 5 \cdot 9)$ .

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Step 2.1.2.1

Multiply $- 5$ by $9$ .

$0 - - 45$

Step 2.1.2.2

Multiply $- 1$ by $- 45$ .

$0 + 45$

Step 2.2

Add $0$ and $45$ .

$45$