 ##  [Nullity](/nullity) 

  ##  [Nullity](https://natural.quantumdictionary.io/nullity-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Nullity is the dimension of the kernel (null space) of a linear map or matrix: the number of independent solutions to the homogeneous equation A x = 0.

 

 

 

 

 





 

 



 ##  [Nullity](https://mathlogic.quantumdictionary.io/nullity-1) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The nullity of a linear transformation is the dimension of its kernel (nullspace), i.e., the subspace of vectors mapped to the zero vector. It measures the number of independent directions collapsed by the map.

 

 

 

 

 





 

 



 ##  [Nullity](https://algebra.quantumdictionary.io/nullity-2) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The dimension of the kernel (null space) of a linear transformation between finite-dimensional vector spaces; equivalently the number of linearly independent solutions to the homogeneous equation T(v)=0.