Answer
See answer below.
Work Step by Step
a) Reaction: $AgNO_3(aq)+NaI(aq)\rightarrow AgI(s)+NaNO_3(aq)$
Net ionic: $Ag^+(aq)+I^-(aq)\rightarrow AgI(s)$
b) Reaction: $BaCl_2(aq)+K_2CO_3(aq)\rightarrow BaCO_3(s)+2\ KCl(aq)$
Net ionic: $Ba^{2+}(aq)+CO_3^{2-}(aq)\rightarrow BaCO_3(s)$