Consider a relation R with five attributes A, B, C, D, and E. You
are given the following functional dependencies: A → B, BC→E, and
ED→A.
(a) Is R in BCNF? If it is not, decompose it into a collection of
BCNF relations.
2: BCNF and 3NF (3 points)
Consider the relation schema R with attributes A, B, C, and D and
the following functional dependencies: AB→C, AC→B, B→D, BC→A.
(a) Is R in BCNF? If it is not, decompose it into a collection of
BCNF relations.
(b) Is R in 3NF? If it is not, convert it into a collection of 3NF
relations.
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