Solve {r|r}{585}&{738}{-119}&{-227}hline

$$\left. \begin{array} { r | r } { 585 } & { 738 } \\ { - 119 } & { - 227 } \\ \hline \end{array} \right.$$

Calculate Determinant

$$-44973$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}585&738\\-119&-227\end{matrix}\right))$$

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

$$585\left(-227\right)-738\left(-119\right)$$

Multiply 585 times -227.

$$-132795-738\left(-119\right)$$

Multiply 738 times -119.

$$-132795-\left(-87822\right)$$

Subtract -87822 from -132795.

$$-44973$$

Evaluate

$$\left(\begin{matrix}585&738\\-119&-227\end{matrix}\right)$$