Find the Determinant [[-3,-1],[0,10]]

$[\begin{array}{c} - 3 & - 1 \\ 0 & 10 \end{array}]$

Step 1

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

$- 3 \cdot 10 + 0 \cdot - 1$

Step 2

Simplify the determinant.

Simplify each term.

Multiply $- 3$ by $10$ .

$- 30 + 0 \cdot - 1$

Multiply $0$ by $- 1$ .

$- 30 + 0$

Add $- 30$ and $0$ .

$- 30$