Solve Matrix

$$\left( \begin{array} { l l } { 0.10 } & { 0.20 } \\ { 0.20 } & { 0.50 } \end{array} \right)$$

Calculate Determinant

$$0.01$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}0.1&0.2\\0.2&0.5\end{matrix}\right))$$

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

$$0.1\times 0.5-0.2\times 0.2$$

Multiply 0.1 times 0.5 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$0.05-0.2\times 0.2$$

Multiply 0.2 times 0.2 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$0.05-0.04$$

Subtract 0.04 from 0.05 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$0.01$$

Evaluate

$$\left(\begin{matrix}0.1&0.2\\0.2&0.5\end{matrix}\right)$$