Precalculus Examples

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

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

Step 1

Find the determinant.

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Step 1.1

The determinant of a

2 \times 2

$2 \times 2$ matrix can be found using the formula

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

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

7 \cdot 0 - 1 \cdot 0

$7 \cdot 0 - 1 \cdot 0$

Step 1.2

Simplify the determinant.

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Step 1.2.1

Multiply

7

$7$ by

0

$0$ .

0 - 1 \cdot 0

$0 - 1 \cdot 0$

Step 1.2.2

Subtract

0

$0$ from

0

$0$ .

0

$0$

0

$0$

0

$0$

Step 2

There is no inverse because the determinant is

0

$0$ .