Linear Algebra Examples

det

[\begin{matrix} - 5 & x 6 & 1 \end{matrix}]

$[\begin{array}{c} - 5 & x \\ 6 & 1 \end{array}]$

Step 1

The determinant of a

2 \times 2

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

∣ ∣ ∣ \begin{matrix} a & b c & d \end{matrix} ∣ ∣ ∣ = a d - c b

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

- 5 \cdot 1 - 6 x

$- 5 \cdot 1 - 6 x$

Step 2

Multiply

- 5

$- 5$ by

1

$1$ .

- 5 - 6 x

$- 5 - 6 x$