# Bases and other strange things

```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

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