Image of a linear map (source code)

= Image of a linear map
{title2=$\operatorname{im}T$}

= Images of a linear map
{synonym}

The <image and preimage of a function>[image] of a linear map $T:V\to W$ is the <vector subspace> $\operatorname{im}T=\{T(v):v\in V\}$ of its codomain.