Lectures related to Understanding Trade-offs in Communication Systems

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores quantum entanglement, Bell inequalities, and self-testing in quantum systems.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Covers the formation theory and coding, focusing on channel capacity and concave functions.

Covers vector spaces, bases, and decomposition of vectors in R³.

Covers the Lempel-Ziv universal coding algorithm and invertible finite state machines in information theory.