Multilinear algebra

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Related lectures (14)

Linear Algebra: Multilinear Forms

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

Determinants: Alternate Forms and Symmetrization

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

Linear Algebra: Multilinear Groin and Determinants

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Determinants: Theory and Applications

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

Multilinear Forms: Alternating and Symmetric

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

Multilinear Forms: Notation & Applications

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

Linear Algebra: Multilinear Forms

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

Steinitz Lemma and Cycles

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Linear Algebra: Multilinear Forms

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

Covariance and Contravariance of Vectors

Explains covariance and contravariance of vectors in multilinear algebra and tensor analysis, focusing on their behavior under changes in basis and scale.

Multilinear Forms: Definitions and Properties

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

Linear Algebra: Applications and Spaces

Explores linear applications, matrices properties, vector subspaces, and system resolution.

Mathematical Displays

Covers the use of mathematical displays and symbols in mathematics.

Quantum Field Theory: Fermions and Grassmann Numbers

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

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