ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 06 Jul 2013 10:04:31 -0500Changing basis on a vector spacehttp://ask.sagemath.org/question/10327/changing-basis-on-a-vector-space/Dear community:
I'd like to know if it is possible use a basis other than the canonical. For example
> sage: V = VectorSpace(SR,3)
> sage: V.basis()
> [ (1, 0, 0),
> (0, 1, 0),
> (0, 0, 1) ]
is the canonical basis of `V`, but I want to use say
> [ (1, 1, 0),
> (1, -1, 0),
> (0, 0, 1)]
How could I do that?
**Edit**
More specifically, I'd like to define two different basis on a vector space. Say, a set of coordinate basis and a non-coordinate basis defined over the same vector space... and finally I'd like to express results in either of them.
I'm interested on a change of basis on Differential Forms, but I guess that if you can help me to understand the general problem I can manage the particular one! ChreesDoxSat, 06 Jul 2013 10:04:31 -0500http://ask.sagemath.org/question/10327/