Precalculus Examples

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

Step 1

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

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

Step 2

Simplify the determinant.

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Step 2.1

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.1

Move $x$ .

$2 x^{2} - (x \cdot x)$

Step 2.1.2

Multiply $x$ by $x$ .

$2 x^{2} - x^{2}$

Step 2.2

Subtract $x^{2}$ from $2 x^{2}$ .

$x^{2}$