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Talk:Row and column spaces

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This is an old revision of this page, as edited by Archmagusrm (talk | contribs) at 14:31, 27 June 2006. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In regards to the following line: "The column spaces of a matrix Z...", should the matrix variable used be A, as opposed to Z to fit with convention and also with the use of the lower-case a used to refer to the column and row vectors?


I don't find min(m,n) very clear can someone define this. Is it simply lesser of the two parameters? In any case it would be good to define this someplace.


m is the number of rows, n is the number of columns in the matrix. Since the matrix can't have more pivot positions than rows or columns, its rank can't be greater than any of these numbers either.