Kernel and Range of Linear Transformations in Linear Algebra

Explore the concepts of kernel and range in linear transformations through this 14-minute video. Learn how these concepts extend null space and column space to general linear transformations. Discover the definitions, examine various examples, and delve into a theorem proving that the kernel is a subspace of the domain and the range is a subspace of the codomain. Gain insights into zero transformation, projection onto the xy plane, and rotation as they relate to kernel and range. Follow along with the step-by-step explanations and proofs to enhance your understanding of these fundamental linear algebra concepts.