Finite Math Examples

B = [\begin{array}{c} 20 & 2 \\ 2 & 5 \end{array}]

$B = [\begin{array}{c} 20 & 2 \\ 2 & 5 \end{array}]$

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

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

20 \cdot 5 - 2 \cdot 2

$20 \cdot 5 - 2 \cdot 2$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

20

$20$ by

5

$5$ .

100 - 2 \cdot 2

$100 - 2 \cdot 2$

Step 2.1.2

Multiply

- 2

$- 2$ by

2

$2$ .

100 - 4

$100 - 4$

100 - 4

$100 - 4$

Step 2.2

Subtract

4

$4$ from

100

$100$ .

96

$96$

96

$96$

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