Hey,
   I'm pretty sure that's a bug since there is no coercion map between QQ 
and GF(7) ( which is different than calling GF(7)(1/5) ). Here's some of 
the other tests I tried:

sage: T=matrix(GF(7),[[1,1],[0,3]])
sage: (N*T).parent()
Full MatrixSpace of 2 by 2 dense matrices over Ring of integers modulo 1

sage: T=matrix(GF(2),[[1,1],[0,1]])
sage: (N*T).parent()
Full MatrixSpace of 2 by 2 dense matrices over Ring of integers modulo 1

sage: T=matrix(GF(25,'a'),[[1,1],[0,3]])
sage: (N*T).parent()
Full MatrixSpace of 2 by 2 dense matrices over Finite Field in a of size 5^2
sage: N*T
[1 4]
[0 3]

So this is something tied to only field of size p.

Best,
Travis

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