Finite Math Examples

$[\begin{array}{c} 4 & - 3 \\ 28 & 4 \end{array}]$

Step 1

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

$4 \cdot 4 - 28 \cdot - 3$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $4$ by $4$ .

$16 - 28 \cdot - 3$

Step 2.1.2

Multiply $- 28$ by $- 3$ .

$16 + 84$

Step 2.2

Add $16$ and $84$ .

$100$