Algebra Examples

$[\begin{array}{c} 4 & 0 \\ - 1 & 2 \end{array}]$

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

$determinant [\begin{array}{c} 4 & 0 \\ - 1 & 2 \end{array}] = | \begin{array}{c} 4 & 0 \\ - 1 & 2 \end{array} |$

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

$(4) (2) + 1 \cdot 0$

Simplify the determinant.

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Simplify each term.

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Multiply $4$ by $2$ .

$8 + 1 \cdot 0$

Multiply $0$ by $1$ .

$8 + 0$

Add $8$ and $0$ .

$8$