Solve {cc}{7}&{-6}{-9}&{10}

$$\left( \begin{array} { c c } { 7 } & { - 6 } \\ { - 9 } & { 10 } \end{array} \right)$$

Calculate Determinant

$$16$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}7&-6\\-9&10\end{matrix}\right))$$

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

$$7\times 10-\left(-6\left(-9\right)\right)$$

Multiply 7 times 10.

$$70-\left(-6\left(-9\right)\right)$$

Multiply -6 times -9.

$$70-54$$

Subtract 54 from 70.

$$16$$

Evaluate

$$\left(\begin{matrix}7&-6\\-9&10\end{matrix}\right)$$