Precalculus Examples

$[\begin{array}{c} 16 & - 4 \\ 8 & - 2 \end{array}]$

Step 1

Find the determinant.

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Step 1.1

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

$16 \cdot - 2 - 8 \cdot - 4$

Step 1.2

Simplify the determinant.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Multiply $16$ by $- 2$ .

$- 32 - 8 \cdot - 4$

Step 1.2.1.2

Multiply $- 8$ by $- 4$ .

$- 32 + 32$

Step 1.2.2

Add $- 32$ and $32$ .

$0$

Step 2

There is no inverse because the determinant is $0$ .