Lectures related to Cartesian Product and Equivalence Classes

Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

Explores fixed points in G-sets, applications between sets, and the construction of orbits.

Explores tuples, sets, and dictionaries in Python, covering immutability, uniqueness, and key-value pairs.

Introduces the basics of group theory, defining groups, categories, and groupoids.

Covers sets, propositional language, reading, writing, containment, and cardinality.

Explores the Cartesian product in linear algebra and the method of induction for proving propositions.

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.