> [!summary] The domain is the dimension of inputs. The codomain is the dimension of outputs. >[!info]+ Read Time **⏱ 1 min** # Definition The domain is the [[Sets|set]] of inputs you feed into a system. The codomain is the output you get from the system. The domain is the [[Dimensions of a Matrix|dimensions]] of a set of vectors ($\mathbb{R}^n$) and the codomain is the [[Dimensions of a Matrix|dimension]] of vectors outputted ($\mathbb{R}^m$) by a function $f(x)$ stated as $ f: \mathbb{R}^n \to \mathbb{R}^m $