Attributes and normalization. Database question. Can someone explain the answer, I will give good ratings for a correct response.

Consider the relation R(A, B, C, D, E, F, G, H, I, J, K). Suppose that the following functional dependencies hold on R: F = {{A} rightarrow {C, D, E}, {A, B, G, H} rightarrow {I, J, K, F}, {J, I, G, H} rightarrow {F, A, B}} Determine which sets of attributes form keys of R. How would you normalize this relation? Consider the relation R(A, B, C, D, E). If {A} rightarrow {D}, {B} rightarrow {C}, and {A, B} rightarrow {E}, argue using the generalized definition of the 3NF that this relation is not in 3NF