Projection of Flows: Dual BasisExplores flow projection on stable and unstable manifolds using dual basis and Gram-Schmidt, with practical error quantification.
Geometry and Least SquaresDiscusses the geometry of least squares, exploring row and column perspectives, hyperplanes, projections, residuals, and unique vectors.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Duality TheoremsExplores duality theorems in linear programming, emphasizing optimal solutions and degeneracies.
Linear Forms in Vector SpacesCovers the definition and properties of linear forms in vector spaces, including generating families and direct sums.
