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2. (30 points) Consider the following general equilibrium model with two competitive goods markets. In market 1, demand and supply are equal to On = a-bp -ep, and Qs = -f + gp,, respectively. In market 2, demand and supply are equal to On2 = a -BP -EP, and Q32 = -+ yP . 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. d) 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)