Question: Problem 3. (Homogeneous Inequalities with Positive Solutions) Let A E Mmxa(R). Prove that exactly one the following holds: (a) There exists x E Rd such

Problem 3. (Homogeneous Inequalities with Positive Solutions) Let A E Mmxa(R). Prove that exactly one the following holds: (a) There exists x E Rd such that Ax 0.3 (b) There exists y E R", satisfying y 2 0 and y A 2 0.4

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