Solve {cc}{-4}&{6}{-4}&{-7}

$$\left( \begin{array} { c c } { - 4 } & { 6 } \\ { - 4 } & { - 7 } \end{array} \right)$$

Calculate Determinant

$$52$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}-4&6\\-4&-7\end{matrix}\right))$$

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

$$-4\left(-7\right)-6\left(-4\right)$$

Multiply -4 times -7.

$$28-6\left(-4\right)$$

Multiply 6 times -4.

$$28-\left(-24\right)$$

Subtract -24 from 28.

$$52$$

Evaluate

$$\left(\begin{matrix}-4&6\\-4&-7\end{matrix}\right)$$