Solve Matrix

$$\left( \begin{array} { l l } { 3 } & { 1001 } \\ { 6 } & { 1987 } \end{array} \right)$$

Calculate Determinant

$$-45$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}3&1001\\6&1987\end{matrix}\right))$$

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

$$3\times 1987-1001\times 6$$

Multiply 3 times 1987.

$$5961-1001\times 6$$

Multiply 1001 times 6.

$$5961-6006$$

Subtract 6006 from 5961.

$$-45$$

Evaluate

$$\left(\begin{matrix}3&1001\\6&1987\end{matrix}\right)$$