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Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.
Vector Spaces EquivalenceExplores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.
Linear Algebra BasicsCovers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Orthogonality and CharactersExplains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.
Linear Applications and SpanIntroduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.
Tangent Spaces and SubmersionsCovers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.