A [[Set]] of [[Vector|Vectors]] used to define a [[Coordinate System|Coordinate System]] / [[Basis]]. >[!example] Basis in $\Rn 2$ >$\huge \vec{i} = \mat{1\\0}, \vec{j} = \mat{0\\1}$ >[!example] Standard Basis in $\R^3$ >$\huge\vec{i} = \mat{1\\0\\0}, \vec{j} = \mat{0\\1\\0}, \vec{k} = \mat{0\\0\\1}$