nullity


The nullityMathworldPlanetmath of a linear mapping is the dimensionPlanetmathPlanetmath of the mapping’s kernel. For a linear mapping T:VW, the nullity of T gives the number of linearly independentMathworldPlanetmath solutions to the equation

T(v)=0,vV.

The nullity is zero if and only if the linear mapping in question is injective.

Title nullity
Canonical name Nullity
Date of creation 2013-03-22 12:24:06
Last modified on 2013-03-22 12:24:06
Owner rmilson (146)
Last modified by rmilson (146)
Numerical id 6
Author rmilson (146)
Entry type Definition
Classification msc 15A03
Related topic RankLinearMapping
Related topic RankNullityTheorem