Algebra Examples

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

Step 1

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

$x \cdot x - 2 \cdot 4$

Step 2

Simplify each term.

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Step 2.1

Multiply $x$ by $x$ .

$x^{2} - 2 \cdot 4$

Step 2.2

Multiply $- 2$ by $4$ .

$x^{2} - 8$