Solve Matrix

$$\left. \begin{array} { l l } { 17 } & { 25 } \\ { 43 } & { 65 } \\ \hline \end{array} \right.$$

Calculate Determinant

$$30$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}17&25\\43&65\end{matrix}\right))$$

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

$$17\times 65-25\times 43$$

Multiply 17 times 65.

$$1105-25\times 43$$

Multiply 25 times 43.

$$1105-1075$$

Subtract 1075 from 1105.

$$30$$

Evaluate

$$\left(\begin{matrix}17&25\\43&65\end{matrix}\right)$$