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Related lectures (32)

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Explores orthogonal projections, symmetry of matrices, and their applications.

Explores optimization with constraints using KKT conditions and interior point algorithm on two examples of quadratic programming.

Explores normal equations of lines in the plane through point translation for precision.

Explores the construction of solutions by Dirichlet-Laplace in general domains.

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.

Covers the geometric properties of the dot product and its algebraic aspects.

Explains equivalence in linear algebra and set calculations with illustrative examples.

Explores the symmetry of vectors with respect to a line in Analytical Geometry.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Explores Cartesian equations for lines in a plane and their parametric descriptions.