Multilinear Forms: Notation & Applications

Related lectures (31)

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Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

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

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.

Covers the basics of linear mapping and coordinate systems.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.