Solve {rr}{1}&{-2}{3}&{4}

$$\left( \begin{array} { r r } { 1 } & { - 2 } \\ { 3 } & { 4 } \end{array} \right)$$

Calculate Determinant

$$10$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}1&-2\\3&4\end{matrix}\right))$$

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

$$4-\left(-2\times 3\right)$$

Multiply -2 times 3.

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

Subtract -6 from 4.

$$10$$

Evaluate

$$\left(\begin{matrix}1&-2\\3&4\end{matrix}\right)$$