Solve {cc}{-3}&{-2}{4}&{3}

$$\left( \begin{array} { c c } { - 3 } & { - 2 } \\ { 4 } & { 3 } \end{array} \right)$$

Calculate Determinant

$$-1$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}-3&-2\\4&3\end{matrix}\right))$$

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

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

Multiply -3 times 3.

$$-9-\left(-2\times 4\right)$$

Multiply -2 times 4.

$$-9-\left(-8\right)$$

Subtract -8 from -9.

$$-1$$

Evaluate

$$\left(\begin{matrix}-3&-2\\4&3\end{matrix}\right)$$