Solve {cc}{7}&{9}{-5}&{-3}

$$\left( \begin{array} { c c } { 7 } & { 9 } \\ { - 5 } & { - 3 } \end{array} \right)$$

Calculate Determinant

$$24$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}7&9\\-5&-3\end{matrix}\right))$$

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

$$7\left(-3\right)-9\left(-5\right)$$

Multiply 7 times -3.

$$-21-9\left(-5\right)$$

Multiply 9 times -5.

$$-21-\left(-45\right)$$

Subtract -45 from -21.

$$24$$

Evaluate

$$\left(\begin{matrix}7&9\\-5&-3\end{matrix}\right)$$