The nullity of a linear transformation f:V->W of vector spaces is the dimension of its null space. The nullity and the map rank add up to the dimension of V, a result sometimes known as the rank-nullity theorem.

The circuit rank of a graph is sometimes also called its nullity.

See also

Kernel, Map Rank, Null Space, Rank-Nullity Theorem

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Nullity." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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