Lectures related to Ordered vector space

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

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

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

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

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

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

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.