Definition for "Nullity" in the Quantum Dictionary

Natural & Formal Sciences Dictionary

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.

- Natural & Formal Sciences -

Mathematics & Logic Dictionary

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.

- Pure Mathematics -

Algebra Dictionary

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.