Precalculus Examples

$[\begin{array}{c} 7 & 0 \\ 1 & 0 \end{array}]$

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 $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$7 \cdot 0 - 1 \cdot 0$

Step 1.2

Simplify the determinant.

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Step 1.2.1

Multiply $7$ by $0$ .

$0 - 1 \cdot 0$

Step 1.2.2

Subtract $0$ from $0$ .

$0$

Step 2

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