Determinant of a Diagonal Matrix

Determinant of a Diagonal Matrix

## Formula

For:

$$A=\begin{bmatrix}a_1&0&\cdots&0\\0&a_2&\cdots&0\\\vdots&\vdots&\ddots&\vdots\\0&0&\cdots&a_n\end{bmatrix}$$

the determinant is:

$$|A|=a_1a_2\cdots a_n$$

## Usage

- Used to calculate determinants of diagonal matrices directly.