Find the Determinant [[1,1],[10,7]]

$[\begin{array}{c} 1 & 1 \\ 10 & 7 \end{array}]$

Step 1

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

$1 \cdot 7 - 10 \cdot 1$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $7$ by $1$ .

$7 - 10 \cdot 1$

Multiply $- 10$ by $1$ .

$7 - 10$

Subtract $10$ from $7$ .

$- 3$