Multilinear Forms: Definitions and Properties

Related lectures (29)

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Explores alternate forms, symmetric forms, and determinants in linear algebra.

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

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores permutations, signature, and alternating multilinear forms in vectors.

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

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

Covers the theory of determinants and their applications in linear algebra.

Explores multilinear forms in linear algebra, emphasizing their role in vector space transformations.

Introduces multilinear forms in linear algebra, emphasizing clarity and logic in presentation.

Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.