as you all know one can write the Maxwell-equations in covariant form, namely:

[tex]\partial_a F^{ab} = \frac{4\pi }{c} j^{b} [/tex]

and

[tex]\partial_a G^{ab}=0[/tex]

where [tex]\textbf{G}[/tex] is the dual Tensor to [tex]\textbf{F}[/tex].

Now the two simple questions.

I can see that they are invariant, because I have a 4-Vector on both sides, and so the rhs and lhs

will transform in the same way, right ?

So the equation will have in another frame exactly the same form.

But on the other hand this equations would be invariant under all such transformations, not only

Lorentztransformations ?

I don't get it..

Thanks