Solve {cc}{2}&{-2}{8}&{6}

$$\left( \begin{array} { c c } { 2 } & { - 2 } \\ { 8 } & { 6 } \end{array} \right)$$

Calculate Determinant

$$28$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}2&-2\\8&6\end{matrix}\right))$$

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

$$2\times 6-\left(-2\times 8\right)$$

Multiply 2 times 6.

$$12-\left(-2\times 8\right)$$

Multiply -2 times 8.

$$12-\left(-16\right)$$

Subtract -16 from 12.

$$28$$

Evaluate

$$\left(\begin{matrix}2&-2\\8&6\end{matrix}\right)$$