Solve {rr}{5.8}{6}&{-4.36}hline

$$\left. \begin{array} { r r } { 5.8 } \\ { 6 } & { - 4.36 } \\ \hline \end{array} \right.$$

Calculate Determinant

$$-25.288$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}5.8&0\\6&-4.36\end{matrix}\right))$$

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

$$5.8\left(-4.36\right)$$

Multiply 5.8 times -4.36 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$-25.288$$

Evaluate

$$\left(\begin{matrix}5.8&0\\6&-4.36\end{matrix}\right)$$