Difference between revisions of "Talk:Elementary matrix"
From Encyclopedia of Mathematics
Neo razgriz (talk | contribs) (Sorry if this page is not up to code, but i feel this issue must be addressed.) |
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| − | + | == Alternate definition == | |
In mathematics, an '''elementary matrix''' is a matrix which differs from the identity matrix by one single elementary row operation.<ref name="wiki2">[http://en.wikipedia.org/wiki/Elementary_matrix Wikipedia - Elementary matrix]</ref> | In mathematics, an '''elementary matrix''' is a matrix which differs from the identity matrix by one single elementary row operation.<ref name="wiki2">[http://en.wikipedia.org/wiki/Elementary_matrix Wikipedia - Elementary matrix]</ref> | ||
| − | + | == References == | |
<references /> | <references /> | ||
--[[User:Neo razgriz|Neo razgriz]] ([[User talk:Neo razgriz|talk]]) 14:24, 20 March 2015 (CET) | --[[User:Neo razgriz|Neo razgriz]] ([[User talk:Neo razgriz|talk]]) 14:24, 20 March 2015 (CET) | ||
Revision as of 13:24, 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=36332
Elementary matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Elementary_matrix&oldid=36332