Question: Let A be an m n matrix. Then exactly one of the following systems has a nonnegative solution: Either I ATx > 0, x

Let A be an m × n matrix. Then exactly one of the following systems has a nonnegative solution:
Either I ATx > 0, x ≩ 0 for some x ∈ ℜm
or II Ay ≤ 0, y ≩ 0 for some y ∈ ℜn.

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