Algebra Examples

$[\begin{array}{c} 8 & 1 \\ 2 & 8 \end{array}]$

Step 1

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

$8 \cdot 8 - 2 \cdot 1$

Step 2

Simplify the determinant.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $8$ by $8$ .

$64 - 2 \cdot 1$

Step 2.1.2

Multiply $- 2$ by $1$ .

$64 - 2$

Step 2.2

Subtract $2$ from $64$ .

$62$