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Lecture
Linear Algebra: Multilinear Forms
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Related lectures (31)
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Tensors: Motivations and Introduction
Covers the basics of tensors, including their definition, properties, and decomposition, starting with a motivating example involving Gaussian distributions.
Multilinear Forms: Notation & Applications
Covers multilinear forms in n variables over a k-vector space, emphasizing notation and applications.
Linear Algebra in Dirac Notation
Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.
Conformity and Compliancy in Geometry
Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.
Weingarten Application of Regular Surfaces
Covers the application of the Weingarten map on regular surfaces and the shape operator.
Tucker Decomposition: Multilinear rank and applications in data compression
Covers the Tucker decomposition and its applications in data compression, explaining the notion of multilinear rank and the HOSVD method.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Algebra: Matrix Operations and Basis
Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Determinants: Theory and Applications
Covers the theory of determinants and their applications in linear algebra.
