Graded vector space

Related lectures (29)

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

Covers the basics of finite fields, including arithmetic operations and properties.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Explains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.

Explores vector subspaces and linear combinations in linear algebra, focusing on the reciprocal relationship between lines, columns, and elements.

Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.

Covers the concept of dimension in a vector space and bases.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Covers the process of finding a base from a system of generators in linear algebra.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.