# nullity

The nullity of a linear mapping is the dimension of the mapping’s kernel. For a linear mapping $T:V\rightarrow W$, the nullity of $T$ gives the number of linearly independent solutions to the equation

 $T(v)=0,\quad v\in V.$

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

Title nullity Nullity 2013-03-22 12:24:06 2013-03-22 12:24:06 rmilson (146) rmilson (146) 6 rmilson (146) Definition msc 15A03 RankLinearMapping RankNullityTheorem