Question: Show that the following properties hold provided that the transformations link together in such a way that all the operations are defined. (a) R(ST) =

Show that the following properties hold provided that the transformations link together in such a way that all the operations are defined.
(a) R(ST) = (.RS)T
(b) 1wT = T = T1y
(c) R(S + T) = RS + RT
(d) (S + T)R = SR + TR
(e) (aS)T = a(ST) = S(aT)

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