Algebra Examples

$[\begin{array}{c} 3 & 2 \\ x & x \end{array}]$

Step 1

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

$3 x - x \cdot 2$

Step 2

Simplify the determinant.

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Step 2.1

Multiply $2$ by $- 1$ .

$3 x - 2 x$

Step 2.2

Subtract $2 x$ from $3 x$ .

$x$