Lizr's resent post got me thinking again about the concept of a
basis and reading the wiki article brought up a question.
"In linear algebra <http://en.wikipedia.org/wiki/Linear_algebra>, a
*basis* is a set of linearly independent
<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
The reference to that phrase that I have highlighted was
unavailable, so I ask the resident scholars here for any comment on it.
"Nature, to be commanded, must be obeyed."
~ Francis Bacon
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