Linear Algebra Examples

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

Step 1

The determinant of a $2 \times 2$ matrix can be found using the formula $| \begin{array}{c} a & b \\ c & d \end{array} | = a d - c b$ .

$- 5 \cdot 1 - 6 x$

Step 2

Multiply $- 5$ by $1$ .

$- 5 - 6 x$