Oxford Linear Algebra - Rank Nullity Theorem

Explore a comprehensive 29-minute video lecture on the Rank Nullity Theorem in linear algebra, presented by University of Oxford mathematician Dr. Tom Crawford. Delve into the concepts of rank and nullity for linear transformations, followed by a detailed step-by-step proof of the theorem. Learn about the kernel and image of linear transformations, their dimensions, and work through a practical example of a map in R^2. Understand how the theorem relates the dimension of a starting vector space to the rank and nullity of a linear map. Enhance your understanding with practice exercises and additional video resources provided by ProPrep. This lecture is part of a broader Oxford Linear Algebra series, offering in-depth coverage of various linear algebra topics.

Introduction
Kernel and Image
Map Example
ProPrep
Basis
Spanning
Linear Independence