Lectures related to Vector Spaces and Topology

Explores adhesion, convergence, closed sets, compact subsets, and examples of subsets in R^n.

Explores discrete signal spaces, non-Euclidean norms, and the distinction between bounded and unrestricted signals.

Explores the properties of orthonormal vectors in Euclidean space through key equations and demonstrations.

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Covers absolute value, density of rationals, and real line topology.

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.