please thoroughly explain all parts.

2. (30 points) Consider the following general equilibrium model with two competitive goods markets. In market 1, demand and supply are equal to Qm = a b3 e192 and QS1 = f + gPl , respectively. In market 2, demand and supply are equal to Qm = a 161D1 8P2 and Q; = + sz . All parameters are strictly positive. a) Express the equilibrium condition in matrix form. b) Using an echelon matrix, derive the condition under which a unique equilibrium exists. c) Interpret this condition in terms of mathematics. (1) Using a graph, illustrate what happens if the condition derived in part b) is violated (there are two cases that you will want to cover)