nullity
The nullity
of a linear mapping is the dimension
of the mapping’s kernel.
For a linear mapping T:V→W, the nullity of T gives the
number of linearly independent
solutions to the equation
| T(v)=0,v∈V. |
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 |