Solve {cc}{0.30}&{-0.08}{0.38}&{0.09}

$$\left| \begin{array} { c c } { 0.30 } & { - 0.08 } \\ { 0.38 } & { 0.09 } \end{array} \right|$$

Evaluate

$$0.0574$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}0.3&-0.08\\0.38&0.09\end{matrix}\right))$$

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

$$0.3\times 0.09-\left(-0.08\times 0.38\right)$$

Multiply 0.3 times 0.09 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$0.027-\left(-0.08\times 0.38\right)$$

Multiply -0.08 times 0.38 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$0.027-\left(-0.0304\right)$$

Subtract -0.0304 from 0.027 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$0.0574$$

Factor

$$\frac{7 \cdot 41}{2 ^ {3} \cdot 5 ^ {4}} = 0.0574$$