base_ring, rank, [sparse=None], [inner_product_matrix=False]) |
Create the free module of given rank over the given base_ring.
INPUT: base_ring -- a commutative ring rank -- a non-negative integer
basis,
change_ring,
coordinate_vector,
echelon_coordinate_vector,
is_ambient,
linear_combination_of_basis
Further documentation:
R) |
Return the ambient free module over R of the same rank as self.
v) |
Write v in terms of the user basis for self.
Returns a vector c such that if B is the basis for self, then sum c[i] B[i] = v If v is not in self, raises an ArithmeticError exception.
v) |
Return the linear combination of the basis for self obtained from the elements of the list v.
Instances of class FreeModule_ambient also have the following special methods:
__cmp__,
__repr__,
_latex_
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