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→Removed false claim: rm response from me that coulda been more polite. my apologies, Tom. |
Tom Lougheed (talk | contribs) mNo edit summary |
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The article clearly states that products of upper triangular matrices are upper triangular, but it doesn't make the similar (and also true) claim about lower triangular matrices. Further, I only vaguely get the impression that the inverses of upper/lower triangular matrices remain upper/lower triangular. We should probably state these properties more directly, and perhaps clean up the article in general. --[[User:Rriegs|Rriegs]] 04:11, 5 May 2007 (UTC)
:I've added a paragraph about triangular matricies preserving form. [[User:Tom Lougheed|Tom Lougheed]] 02:32, 12 August 2007 (UTC)
== Removed false claim ==
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:::the article says Gauss matrix only have 1 non-zero column below the diagonal. probably you didn't see that. for those matrices the claim holds trivially. [[User:Mct mht|Mct mht]] 01:34, 12 August 2007 (UTC)
::::You are quite correct: reading through the article, the math typesetting looks like a general form lower triangular that's been normalized. Not good. I've extended the typesetting for the matrix <math>\mathbf{L}_i</math> to show all the lower diagonal zeros, and have added a section heading "special forms" to separate the paragraph from the general section on triangular matricies. [[User:Tom Lougheed|Tom Lougheed]] 02:32, 12 August 2007 (UTC)
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