Lectures related to Inverse element

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the definitions and properties of invertible matrices, including determinants and uniqueness of solutions.

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Covers the Chinese remainder theorem, polynomial rings, and Euclidean domains among other topics.

Explores matrix inverses, their properties, calculations, and determinants of invertibility.

Discusses inverse functions and local invertibility based on the determinant of the Jacobian matrix.