Solve Matrix

$$\left( \begin{array} { l l } { 3 } & { 1.001 } \\ { 6 } & { 1.987 } \end{array} \right)$$

Calculate Determinant

$$-0.045$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}3&1.001\\6&1.987\end{matrix}\right))$$

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

$$3\times 1.987-1.001\times 6$$

Multiply 3 times 1.987.

$$5.961-1.001\times 6$$

Multiply 1.001 times 6.

$$5.961-6.006$$

Subtract 6.006 from 5.961 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$-0.045$$

Evaluate

$$\left(\begin{matrix}3&1.001\\6&1.987\end{matrix}\right)$$