Solve {cc}{-3}&{-6}{-2}&{-1}

$$\left( \begin{array} { c c } { - 3 } & { - 6 } \\ { - 2 } & { - 1 } \end{array} \right)$$

Calculate Determinant

$$-9$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}-3&-6\\-2&-1\end{matrix}\right))$$

For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.

$$-3\left(-1\right)-\left(-6\left(-2\right)\right)$$

Multiply -3 times -1.

$$3-\left(-6\left(-2\right)\right)$$

Multiply -6 times -2.

$$3-12$$

Subtract 12 from 3.

$$-9$$

Evaluate

$$\left(\begin{matrix}-3&-6\\-2&-1\end{matrix}\right)$$