Bilinear form

Related lectures (31)

Explores the definition and properties of Hermitian forms in complex vector spaces.

Explores the algebraic properties of the scalar product and their geometric implications.

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

Covers the definition and properties of multilinear forms, emphasizing linearity and applications in mathematics.

Covers alternating and symmetric multilinear forms in vector spaces over a field.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Explores norm, dot product, and orthogonality in vector spaces, including properties and inequalities.

Covers Lie Algebra, focusing on vector space and multiplication law.

Explores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.

Explores multilinear forms in linear algebra, emphasizing their properties and applications.

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