Category:Definitions/Diagonal Matrices

This category contains definitions related to Diagonal Matrices.
Related results can be found in Category:Diagonal Matrices.

Let $\mathbf A = \begin{bmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn} \\ \end{bmatrix}$ be a square matrix of order $n$.

Then $\mathbf A$ is a diagonal matrix if and only if all elements of $\mathbf A$ are zero except for possibly its diagonal elements.