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The equilibrium prices of three interdependent commodities are given by the system: 2p1 +4P2 + P3 = 77 4p1 + 3p2 + 7p3 =

 

The equilibrium prices of three interdependent commodities are given by the system: 2p1 +4P2 + P3 = 77 4p1 + 3p2 + 7p3 = 114 2p1 + P2 + 3p3 = 48 a) Rewrite the equation system in the format Ax = d. b) Use the coefficient matrix A to test the rank of the system and whether the system has a solution. c) If the system has a solution, use Gauss-Jordan elimination to find the solution.

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