Solve Matrix

$$\left( \begin{array} { l l } { - 2 } & { 3 } \\ { - 2 } & { - 2 } \end{array} \right)$$

Calculate Determinant

$$10$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

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

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

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

Multiply -2 times -2.

$$4-3\left(-2\right)$$

Multiply 3 times -2.

$$4-\left(-6\right)$$

Subtract -6 from 4.

$$10$$

Evaluate

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