Use the chase test to determine whether this decomposition
Suppose the relation R(A,B,C,D,E) is decomposed into R1(A,B,C), R2(A,D), and R3(A,C,E). Use the chase test to determine whether this decomposition is lossless, given each sets of FDs:
a, AC->B, C->D and A->E
b, A->B, AE->C and B->D
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