As someone who's watched all Strang's lectures and read most of Axler's book, I found Linear Algebra and Its Applications to give the most interesting treatment

As someone who's watched all Strang's lectures and read most of Axler's book, I found Linear Algebra and Its Applications to give the most interesting treatment on the topic. What made it so special was its clear explanations and the use cases it introduced. The applications not only provided the context to get a deeper understanding of the concepts, it also made the math relevant to the real world. By showing a range of problems, from the chemical stoichiometry to the algorithmic SVD, it inspires the reader to look for more problems that can be solved with the toolset being introduced.