Algebra Examples

[\begin{array}{c} 0 & 2 \\ 12 & 5 \end{array}]

$[\begin{array}{c} 0 & 2 \\ 12 & 5 \end{array}]$

Step 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

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

0 \cdot 5 - 12 \cdot 2

$0 \cdot 5 - 12 \cdot 2$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

0

$0$ by

5

$5$ .

0 - 12 \cdot 2

$0 - 12 \cdot 2$

Step 2.1.2

Multiply

- 12

$- 12$ by

2

$2$ .

0 - 24

$0 - 24$

0 - 24

$0 - 24$

Step 2.2

Subtract

24

$24$ from

0

$0$ .

- 24

$- 24$

- 24

$- 24$

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