Vector Calculus in 3DCovers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Projection in Vector SpacesExplores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.
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.