Linear Algebra: Multilinear Forms

Related lectures (26)

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Covers the theory and applications of bilinear forms in various mathematical contexts.

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

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

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores pseudo-Euclidean spaces, emphasizing isometries and bases in vector spaces with non-degenerate quadratic forms.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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

Covers linear independence, bases, and coordinate systems with examples and theorems.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

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