Note that Ax = 0, x>0 has a nonzero solution x iff = Ax=0, ex=1 has...

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Note that Ax = 0, x>0 has a nonzero solution x iff = Ax=0, ex=1 has a solution x 0, where e (1,1,...,1). Prove that the Farkas alternative is: yA> O has a solution. Note that Ax = 0, x>0 has a nonzero solution x iff = Ax=0, ex=1 has a solution x 0, where e (1,1,...,1). Prove that the Farkas alternative is: yA> O has a solution.

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The Farkas lemma states that for any matrix A and vector b exactly one of the following systems of l... View the full answer