Suppose that we decompose the schema R $=($A$,$ B$,$ C$,$ D$,$ E$)$ into

$($A$,$ B$,$ C$)$

$($A$,$ D$,$ E$)$

Show that this decomposition is a lossless decomposition if the following set F of functional dependencies holds

A $->$ BC

CD $->$ E

B $->$ D

E $->$ A

$($I AM REALLY ONLY WORRIED AOUT THE ANSWER AND STEPS TO THIS PART OF THE PROBLEM!!!!$)$ Give a lossless decomposition into BCNF of schema R of R $=($A$,$ B$,$ C$,$ D$,$ E$)$