Examples

[\begin{array}{c} 3 & 2 \\ 4 & 6 \end{array}]

$[\begin{array}{c} 3 & 2 \\ 4 & 6 \end{array}]$

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

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

3 \cdot 6 - 4 \cdot 2

$3 \cdot 6 - 4 \cdot 2$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

3

$3$ by

6

$6$ .

18 - 4 \cdot 2

$18 - 4 \cdot 2$

Step 2.1.2

Multiply

- 4

$- 4$ by

2

$2$ .

18 - 8

$18 - 8$

18 - 8

$18 - 8$

Step 2.2

Subtract

8

$8$ from

18

$18$ .

10

$10$

10

$10$

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