Can someone recommend me a 2nd year linear algebra textbook?

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SUMMARY

The discussion centers on recommendations for a second-year linear algebra textbook suitable for self-learning. Key texts mentioned include "Linear Algebra Done Right" by Sheldon Axler, praised for its comprehensive coverage and accessibility, and "Linear Algebra" by Serge Lang, noted for its strong theoretical approach. Additionally, "Advanced Linear Algebra" by Steven Roman is highlighted for those familiar with proof-based theoretical linear algebra. The topics covered in the course include vector spaces, linear transformations, orthogonality, and change of basis.

PREREQUISITES
  • Understanding of vector spaces and subspaces
  • Familiarity with linear transformations and their properties
  • Knowledge of orthogonality and the Gram-Schmidt process
  • Basic concepts of matrix rank and applications
NEXT STEPS
  • Research "Linear Algebra Done Right" by Sheldon Axler for a self-learning approach
  • Explore "Linear Algebra" by Serge Lang for a theoretical perspective
  • Study "Advanced Linear Algebra" by Steven Roman for proof-based concepts
  • Investigate applications of the Singular Value Decomposition (SVD) in practical scenarios
USEFUL FOR

Students in mathematics or engineering fields, self-learners seeking a deeper understanding of linear algebra, and educators looking for comprehensive teaching resources.

BingoGod
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Can someone recommend me a 2nd year linear algebra textbook that is good for self-learning?

The course is linear methods II and the topics are:

Vector spaces, subspaces, independence, basis and dimension,
row and column space of a matrix, rank, applications.

Linear transformations, kernel and image, composition,
linear functionals, the double dual, transpose of a linear transformation.

Orthogonality, Gram-Schmidt process, orthogonal diagonalization and
least squares approximation, quadratic forms, SVD.

Change of basis.

Thanks
 
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https://www.amazon.com/dp/1441924981/?tag=pfamazon01-20

This says "graduate mathematics" and "advanced linear algebra", but it's really good for any level. This is my all time favourite linear algebra book, it has anything you could possibly wish for in it.

https://www.amazon.com/dp/0135367972/?tag=pfamazon01-20
pretty much everyone recommends this one. This was my favourite until I bumped into that roman book.

https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20
this is good if you haven't done "proof-based" theoretical linear algebra before
 
Thanks for the recommendations, I looked into Linear Algebra Done Right and I think that is the text for me
 

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