Composition of Linear Transformations - Linear Algebra

Explore the concept of composition of linear transformations in this 17-minute video lecture. Learn how composition is defined and prove that the composition of linear transformations is itself a linear transformation. Examine an example of composing transformations, discuss compositions involving multiple transformations, and delve into proofs related to one-to-one transformations and inverse compositions. Gain a comprehensive understanding of this fundamental topic in linear algebra through clear explanations and step-by-step demonstrations.

Intro
Definition of Composition of Linear Transformations
Composition of Linear Transformations is Linear
Order of Composition
Example of Composition of Transformations
Composition of Many Transformations
One to One and Inverse Theorem
Proof Composition is One to One
Proof for Inverse Formula
Conclusion