Difference between revisions of "Talk:Elementary matrix"
From Encyclopedia of Mathematics
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http://upload.wikimedia.org/math/1/6/c/16c94d719d94fe7b7a397a59d781be2b.png | http://upload.wikimedia.org/math/1/6/c/16c94d719d94fe7b7a397a59d781be2b.png | ||
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The matrix above (marked T) has more than one off-diagonal element added to it. | The matrix above (marked T) has more than one off-diagonal element added to it. | ||
Revision as of 13:25, 20 March 2015
Issue
This definition excludes the row-switching elementary matrix[1]:
Proof
The matrix above (marked T) has more than one off-diagonal element added to it.
In addition, at least one diagonal element has been modified.
Therefore, by the definition on the Elementary matrix page, T is not an elementary matrix.
Alternate definition
In mathematics, an elementary matrix is a matrix which differs from the identity matrix by one single elementary row operation.[2]
References
--Neo razgriz (talk) 14:24, 20 March 2015 (CET)
How to Cite This Entry:
Elementary matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Elementary_matrix&oldid=36333
Elementary matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Elementary_matrix&oldid=36333