Algebra Examples

$[\begin{array}{c} x & 8 \\ x & x \end{array}]$

These are both valid notations for the determinant of a matrix.

$determinant [\begin{array}{c} x & 8 \\ x & x \end{array}] = | \begin{array}{c} x & 8 \\ x & x \end{array} |$

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

$(x) (x) - x \cdot 8$

Simplify each term.

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Multiply $x$ by $x$ .

$x^{2} - x \cdot 8$

Multiply $8$ by $- 1$ .

$x^{2} - 8 x$