Solve Matrix

$$[ \begin{array} { l l } { 2 } & { 4 } \\ { 3 } & { 5 } \end{array} )$$

Calculate Determinant

$$-2$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}2&4\\3&5\end{matrix}\right))$$

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

$$2\times 5-4\times 3$$

Multiply 2 times 5.

$$10-4\times 3$$

Multiply 4 times 3.

$$10-12$$

Subtract 12 from 10.

$$-2$$

Evaluate

$$\left(\begin{matrix}2&4\\3&5\end{matrix}\right)$$