zero matrix

The n×m zero O over a ring R is the n×m matrix with coefficients in R given by


where 0 is the additive identity ( in R.

0.0.1 Properties

The zero matrixMathworldPlanetmath is the additive identity in the ring of n×n matrices over R. This is an alternative definition of O (since there’s just one additive identity in any given ring (

The n×n zero matrix O has the following properties:

Title zero matrix
Canonical name ZeroMatrix
Date of creation 2013-03-22 14:19:19
Last modified on 2013-03-22 14:19:19
Owner waj (4416)
Last modified by waj (4416)
Numerical id 8
Author waj (4416)
Entry type Definition
Classification msc 15-01
Related topic Matrix
Related topic IdentityMatrix