The rank of $T:V\to W$ is the dimension of its image, $\operatorname{rank}T=\dim T(V)$. For a matrix representation it equals the number of pivots, independent of basis choices. Rank measures how many independent output directions the map produces.
Parents
Like how this is organised?
Build your own knowledge tree on knowen.md: notes, decisions and tasks in one connected markdown graph, shared with your team and your AI agents.