[[Linear map]]
# Rank

The **rank** $\rank T$ of a [[linear map]] $T \in \Vect_{\mathbb{K}}(U,V)$ is the dimension $\dim \im T$ of its [[Image and preïmage|image]]. #m/def/linalg For matrices this is equivalent to the dimension of the [[Row and column space|column space]].

## Properties

- [[Rank-nullity theorem]]


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#state/tidy | #lang/en | #SemBr