example of Smith normal form

As an example, we will find the Smith normal formMathworldPlanetmath of the following matrix over the integers.


The following matrices are the intermediate steps as the algorithmMathworldPlanetmath is applied to the above matrix.


So the Smith normal form is


and the elementary divisors are 2, 6 and 12.

Title example of Smith normal form
Canonical name ExampleOfSmithNormalForm
Date of creation 2013-03-22 14:22:51
Last modified on 2013-03-22 14:22:51
Owner aoh45 (5079)
Last modified by aoh45 (5079)
Numerical id 4
Author aoh45 (5079)
Entry type Example
Classification msc 13F10