Quadratic Forms and Symmetric Matrices

Related lectures (29)

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Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Explores optimal control and KKT conditions for non-linear optimization with constraints.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Explores integral representations, quadratic lattices, and the Hasse Principle.

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.