The problem straight out of the book reads:
Prove that the Kronecker delta has the tensor character indicated.
Prove also that it is a constant or numerical tensor, that is, it has
the same components in all coordinate systems.
Without a context the first sentence might be a bit weird but to me it is still weird with a context becuase I can't figure out what it means. In the passage that the question is related to I find no clues so any help is appreciated.
The Attempt at a Solution
Since I don't even really understand the first part I can'r really do much about that. As for the second part I really don't know much about tensors yet and I can't fit the Kronecker delta with transformations properly so I'm at a loss. Hope someone can help!