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.