Diagonal Matrix

Diagonal Matrix

## Definition / Concept

A square matrix in which all non-diagonal elements are zero is called a diagonal matrix.

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

## Usage

- Used for simplified matrix multiplication, determinants and powers of matrices.