Solve {cc}{5}&{2}{-9}&{-3}

$$\left( \begin{array} { c c } { 5 } & { 2 } \\ { - 9 } & { - 3 } \end{array} \right)$$

Calculate Determinant

$$3$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}5&2\\-9&-3\end{matrix}\right))$$

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

$$5\left(-3\right)-2\left(-9\right)$$

Multiply 5 times -3.

$$-15-2\left(-9\right)$$

Multiply 2 times -9.

$$-15-\left(-18\right)$$

Subtract -18 from -15.

$$3$$

Evaluate

$$\left(\begin{matrix}5&2\\-9&-3\end{matrix}\right)$$