Finite Math Examples

[\begin{array}{c} 1 & 2 \\ - 2 & - 1 \end{array}]

$[\begin{array}{c} 1 & 2 \\ - 2 & - 1 \end{array}]$

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

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

1 \cdot - 1 - (- 2 \cdot 2)

$1 \cdot - 1 - (- 2 \cdot 2)$

Step 2

Simplify the determinant.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply

- 1

$- 1$ by

1

$1$ .

- 1 - (- 2 \cdot 2)

$- 1 - (- 2 \cdot 2)$

Step 2.1.2

Multiply

- (- 2 \cdot 2)

$- (- 2 \cdot 2)$ .

Tap for more steps...

Step 2.1.2.1

Multiply

- 2

$- 2$ by

2

$2$ .

- 1 - - 4

$- 1 - - 4$

Step 2.1.2.2

Multiply

- 1

$- 1$ by

- 4

$- 4$ .

- 1 + 4

$- 1 + 4$

- 1 + 4

$- 1 + 4$

- 1 + 4

$- 1 + 4$

Step 2.2

Add

- 1

$- 1$ and

4

$4$ .

3

$3$

3

$3$

Enter YOUR Problem