Question: 4. (20 pts) (Separation theorems and properties) Let Consider the following two systems: I. Aly = 0, bly = p, y > 0, where p

 4. (20 pts) (Separation theorems and properties) Let Consider the following

4. (20 pts) (Separation theorems and properties) Let Consider the following two systems: I. Aly = 0, bly = p, y > 0, where p > 0 and y E Rm. II. Ax > b where x E R", bE RM with b| | + 0, and A E Rmxn Exactly one of the two systems has solution

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