Lectures related to Signal Representations

Covers essential concepts of vectors, norms, and their properties in linear algebra.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Introduces linear combinations of vectors in R^n and their properties.

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.

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