Linear Applications: Definitions and Properties

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (29)

Page 3 of 3

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Linear Algebra: Bases and Linear Dependence

Covers bases, linear dependencies, injective and surjective transformations, and matrix representation in linear algebra.

Linear Transformations: Matrices and Applications

Explores linear transformations, matrices, injective and surjective functions, and their applications.

Tensor Products and Symmetric Power

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Linear Mapping Basics

Covers the basics of linear mapping and coordinate systems.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, injectivity, surjectivity, and matrix multiplication properties.

Linear Transformations: Polynomials and Bases

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Linear Algebra: Matrix Representation

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Tangent vectors without embedding space: Making tangent spaces linear

Explores making tangent spaces linear, defining tangent vectors without an embedding space and their operations, as well as the equivalence of different tangent space notions.