Question: Let A be an m n matrix. Then exactly one of the following systems has a solution: Either I Ax 0 for some

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

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