Review set

Constructing a basic solution and testing feasibility

The questions give you a column set and ask what it determines, sometimes a feasible point, sometimes a point outside the region, sometimes nothing at all. The construction returns quickly; keeping the sign test as a step of its own, rather than assuming it from a clean solve, is what needs practice.

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2 questions, chosen for youHints availableNo time limit

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What this covers

  • Construct a basic solution from a chosen basis

    Given a standard-form constraint system and a proposed set of columns, the learner can decide whether the set is a basis, construct the corresponding basic solution by setting nonbasic variables to zero and solving the square system, and state separately whether the result is feasible.

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