| Version current |
Version 2 |
|
The \emph{nullity} of a linear mapping is the dimension of the mapping's kernel.
|
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 |
For a linear mapping $T:V\rightarrow W$, the nullity of $T$ gives the |
| number of linearly independent solutions to the equation |
number of linearly independent solutions to the equation |
| $$T(v)=0,\quad v\in V.$$ |
$$T(v)=0,\quad v\in V.$$ |
| The nullity is zero if and only if the linear |
The nullity is zero if and only if the linear |
| mapping in question is injective. |
mapping in question is injective. |
