Solve {l|l|}{100}&{90}{100}&{100}

$$\left. \begin{array} { l | l | } { 100 } & { 90 } \\ { 100 } & { 100 } \end{array} \right.$$

Calculate Determinant

$$1000$$

Steps Using Diagonal Rule

Find the determinant of the matrix.

$$det(\left(\begin{matrix}100&90\\100&100\end{matrix}\right))$$

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

$$100\times 100-90\times 100$$

Multiply 100 times 100.

$$10000-90\times 100$$

Multiply 90 times 100.

$$10000-9000$$

Subtract 9000 from 10000.

$$1000$$

Evaluate

$$\left(\begin{matrix}100&90\\100&100\end{matrix}\right)$$