Review set

Adjacency and the edge between two corners

The questions ask which bases are adjacent, which way the edge between them runs, and how far you can walk along it. Computing the direction returns quickly; remembering that adjacency is about shared columns rather than distance, and that only falling variables bound the step, is what needs practice.

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What this covers

  • Justify adjacency of two basic solutions

    Given a standard-form system and two bases, the learner can decide whether they are adjacent, compute the edge direction generated by an entering variable, determine how far the step can go before feasibility fails, and explain why moving between adjacent corners changes exactly one basis column.

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