Please provide detailed calculations, explanations and proofs:

3. Trading model: As in class, consider a model of a financial market with N assets and M possible outcomes. The payoff of asset n at time t = 1 if outcome m occurs is Dom, where DERNXM, and its price at time zero is so, where s ERN. A portfolio of stocks is represented by a vector h E R", where he represents the number of shares owned of asset in. We also define the augmented matrix, D = (-5.D), the reachable payoff space R-D'h:hER"}, and the augmented payoff space = {D'h:h RM). Consider the market with -2 11 D -3 1 2 - 16 8 9 (a) What is the t = 0 price of the portfolio h = (1,1,0)" in this market? (b) Is this market complete? (c) Does the law of one price (LOOP) hold in this market