A [[Matrix]] is Diagonal if the only non-zero elements are located in the diagonal of the matrix. $\huge \forall ij : A_{ij} \neq 0 \iff i=j $ A diagonal [[Matrix]] can be thought of as a [[Resize Transformation]] around the [[Standard Basis]]. >[!example] Visualization >![[../../00 Excalidraw/Diagonal Matrix _0.excalidraw.dark.svg]] >%%[[../../00 Excalidraw/Diagonal Matrix _0.excalidraw.md|🖋 Edit in Excalidraw]], and the [[../../00 Excalidraw/Diagonal Matrix _0.excalidraw.light.svg|light exported image]]%%