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

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

Calculate Determinant

$$-1$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

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

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

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

Multiply 2 times -2.

$$-4-3\left(-1\right)$$

Multiply 3 times -1.

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

Subtract -3 from -4.

$$-1$$

Evaluate

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