example of Smith normal form

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

The following matrices are the intermediate steps as the algorithm 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