Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Vector Spaces EquivalenceExplores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.
Linear Applications and SpanIntroduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.
Linear Algebra BasicsCovers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Orthogonality and CharactersExplains orthogonality and characters in group representations, including equivalence classes and vector space dimensions.
Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.