standard basis
If is a division ring, then the direct sum (http://planetmath.org/DirectSum) of copies of ,
is a vector space.
The standard basis for consists of elements
where each has for its th component and for every other component. The are called the standard basis vectors.
Title | standard basis |
---|---|
Canonical name | StandardBasis |
Date of creation | 2013-03-22 14:20:07 |
Last modified on | 2013-03-22 14:20:07 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 9 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 15A03 |
Related topic | BasalUnits |
Defines | standard basis vectors |