MML-13-05: The Lagrangian Dual Function & Weak Duality – Practice Quiz

MML-13-05: The Lagrangian Dual Function & Weak Duality. 35 independently reviewed questions, including single-select and multiselect MCQs. Cognitive scope: Tier 2–4. Prerequisites: QS 13.4.

Learning goals: Define the dual function and its domain.; Compute quadratic Lagrangian infima.; Recognize unbounded Lagrangian minimizations.; Prove concavity as an infimum of affine functions.; Establish weak duality with correct signs.; Use primal-dual bounds as optimality certificates.; Distinguish dual feasibility, attainment and gap.; Interpret dual gradients and optimization diagnostics.

Progress from conceptual checks to worked calculations, ML diagnostics and derivations within the assigned scope. Every question includes content-based feedback for every choice and authoritative references. Select every correct choice when marked multiselect.

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