# span of vectors over an extension field but with coefficients from the base field

Hi all,

Assume I have a vector space with coefficients from a finite extension field. How can I make the sub space spanned by vectors over that extension field but with coefficients from the base field? When I do something like this:

```
sage: F = GF(2)
sage: FF.<a> = F.extension(4)
sage: VS = VectorSpace(FF, 6)
sage: span([VS.random_element() for i in range(3)], F)
```

I get an error that "is not compatble with base_ring". But if I would replace VS with `VS = FreeModule(ZZ, 6)`

it works. But that is not what I want. Are there any solutions?