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1.9.37[H] It is possible for a square system of linear algebraic equations Ax = b to be inconsistent, and then no vector x satisfies them

1.9.37[H] It is possible for a square system of linear algebraic equations Ax = b to be inconsistent, and then no vector x satisfies them all. In that case we might be interested in finding the x that comes closest to satisfying them, in the sense that it minimizes the largest absolute row deviation |ai x bi | [3, p26-27]. Formulate a linear program whose solution yields x

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