Solve {cc}{2}&{-2}{1}&{4}

$$\left( \begin{array} { c c } { 2 } & { - 2 } \\ { 1 } & { 4 } \end{array} \right)$$

Calculate Determinant

$$10$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}2&-2\\1&4\end{matrix}\right))$$

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

$$2\times 4-\left(-2\right)$$

Multiply 2 times 4.

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

Subtract -2 from 8.

$$10$$

Evaluate

$$\left(\begin{matrix}2&-2\\1&4\end{matrix}\right)$$