Finite Math Examples

$[\begin{array}{c} 1 & 3 \\ 2 & - 3 \end{array}]$

Step 1

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

$1 \cdot - 3 - 2 \cdot 3$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $- 3$ by $1$ .

$- 3 - 2 \cdot 3$

Step 2.1.2

Multiply $- 2$ by $3$ .

$- 3 - 6$

Step 2.2

Subtract $6$ from $- 3$ .

$- 9$