 | 1 | initial version |
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? Cheers.
| | 2 | More detailed question |
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? Cheers.
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! Chrees
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