How to Learn Linear Algebra, The Right Way?  Summary and Q&A
TL;DR
A highly recommended linear algebra book with a focus on abstract vector spaces and proofbased learning.
Key Insights
 👾 "Linear Algebra Done Right" emphasizes abstract vector spaces and proofbased learning, making it distinct from other linear algebra books.
 🥶 The author, Sheldon Axler, presents beautiful, determinantfree proofs that contribute to the book's audacious title.
 📖 The book offers excellent readability, with clear explanations that make it accessible to readers without pen and paper.
 🏃 While not beginnerfriendly, the book's exercises align well with the content and span various levels of difficulty.
 🖤 One downside is the lack of answers to the exercises, requiring selfassessment or external resources for validation.
 👏 Overall, Sheldon Axler does an exceptional job in explaining linear algebra concepts effectively, making the book highly praised by readers.
 The title and content of "Linear Algebra Done Right" justify its reputation as one of the most interesting and wellread linear algebra books.
Transcript
okay so in this video we're going to talk about a book with a really interesting title the book is called linear algebra done right so I guess it claims to do when you're algebra the right way so I picked up this book at a library because someone made a comment about it in one of my videos and I thought oh I should just totally check it out I've he... Read More
Questions & Answers
Q: What is unique about the book "Linear Algebra Done Right"?
The book stands out for its focus on abstract vector spaces, proofbased learning, and the absence of determinants until the final chapter. It offers determinantfree proofs.
Q: Is "Linear Algebra Done Right" suitable for beginners?
The book is not recommended for beginners. It assumes some experience in proof writing or linear algebra before delving into its proofbased approach to the subject matter.
Q: Are the exercises in the book challenging?
The exercises in "Linear Algebra Done Right" span a range of difficulty levels, from easy to medium to difficult. They align well with the content covered in the textbook.
Q: Does "Linear Algebra Done Right" provide answers to the exercises?
Unfortunately, the book does not provide answers to the exercises. This may require selfassessment or seeking additional resources for validation.
Summary & Key Takeaways

The book "Linear Algebra Done Right" covers complex numbers, vector spaces, linear maps, eigenvalues, and more, emphasizing abstract vector spaces and proofbased learning.

The author, Sheldon Axler, presents determinants only in the final chapter, offering unique and beautiful determinantfree proofs.

The book is praised for its readability, clear explanations, and wellwritten proofs, making it accessible even without pen and paper.

Exercises in the book range from easy to difficult and do not provide answers, requiring some experience in proof writing or linear algebra.