Serge Lang's Linear Algebra - how is it?

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SUMMARY

Serge Lang's "Linear Algebra" is a well-written resource for those with prior knowledge of the subject, particularly in self-study contexts. While it effectively explains the representation of linear transformations by matrices, it lacks solutions for exercises, which may hinder some learners. Users recommend considering other texts, such as Hoffman-Kunze or Roman's "Advanced Linear Algebra," for a deeper understanding, especially for those already familiar with linear algebra concepts.

PREREQUISITES
  • Understanding of basic linear algebra concepts
  • Familiarity with matrix representation of linear transformations
  • Experience with self-study techniques
  • Knowledge of other linear algebra texts for comparison
NEXT STEPS
  • Explore Hoffman-Kunze's "Linear Algebra" for a comprehensive approach
  • Investigate Roman's "Advanced Linear Algebra" for advanced topics
  • Research additional self-study resources for linear algebra
  • Review online forums for user experiences with various linear algebra texts
USEFUL FOR

Students and self-learners in mathematics, particularly those seeking to deepen their understanding of linear algebra concepts and looking for effective study materials.

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Serge Lang's "Linear Algebra" - how is it?

I'm looking to buy a good linear algebra book. I've already had a course in it and would like to learn more. How is this book for self-study? If anyone has used this book for a course or otherwise, how did you like it?

Particularly: how good does Lang explain the representation of a linear transformation by a matrix? I seem to judge good linear algebra books by how well this is explained...
 
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His books in general are excellent i.e A first course in Calculus or Calculus of several veriable etc. The linear algebra one does not have solutions so not sure if that's what your looking for in terms of self study.
 


I remember reading that book long time ago. My impression was that it was well-written. But personally I think there are many other better options since you say you already had a course in it. (Hoffman-Kunze)

If you know your linear algebra well (really well) maybe Roman's "Advanced Linear Algebra" is a good choice. Although it is overkill for most of us.
 

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