Finite Math Examples

$- 3 A = [\begin{array}{c} - 5 & 2 \\ - 3 & 0 \end{array}]$

Step 1

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

$- 5 \cdot 0 - (- 3 \cdot 2)$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 5$ by $0$ .

$0 - (- 3 \cdot 2)$

Step 2.1.2

Multiply $- (- 3 \cdot 2)$ .

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Step 2.1.2.1

Multiply $- 3$ by $2$ .

$0 - - 6$

Step 2.1.2.2

Multiply $- 1$ by $- 6$ .

$0 + 6$

Step 2.2

Add $0$ and $6$ .

$6$