The definition is a somewhat wordy, but essentially technically correct, form of the standard definition of a basis in Linear Algebra.
What is your question, exactly? Cheers On Tue, May 22, 2012 at 09:09:07AM -0400, Stephen P. King wrote: > Hi Folks, > > Lizr's resent post got me thinking again about the concept of a > basis and reading the wiki article brought up a question. > > http://en.wikipedia.org/wiki/Basis_%28linear_algebra%29 > > "In linear algebra <http://en.wikipedia.org/wiki/Linear_algebra>, a > *basis* is a set of linearly independent > <http://en.wikipedia.org/wiki/Linear_independence> vectors > <http://en.wikipedia.org/wiki/Vector_space> that, in a linear > combination <http://en.wikipedia.org/wiki/Linear_combination>, can > represent every vector in a given vector space > <http://en.wikipedia.org/wiki/Vector_space> or free module > <http://en.wikipedia.org/wiki/Free_module>, or, more simply put, > which define a "coordinate system" /_*(as long as the basis is given > a definite order*_/)." > > The reference to that phrase that I have highlighted was > unavailable, so I ask the resident scholars here for any comment on > it. > > -- > Onward! > > Stephen > > "Nature, to be commanded, must be obeyed." > ~ Francis Bacon > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To post to this group, send email to everything-list@googlegroups.com. > To unsubscribe from this group, send email to > everything-list+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/everything-list?hl=en. > -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics hpco...@hpcoders.com.au University of New South Wales http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
