Good choice of books for my linear algebra syllabus

[Riazy]

Good choice of books for my linear algebra syllabus



Hello guys, I am looking for some good books for linear algebra.
I have got Linear algebra by, David Lay and Anton .
However I am studying Linear algebra in another language than English
and our syllabus is a bit different from many English speaking countries.
I feel like I want a more thorough and more detailed theory on the following subjects

Especially when it comes to lines and planes in space.

I have heard that goodaire is a good book too, but perhaps you guys can give me some good suggestions for books which suit respective subject
I would like to have a suggestion for good books which suit my syllabus

1. Linear Equation systems
2. Matrices
3. Transpose, Matrix Inverses
4. Vectors, Basis, and coordinates
5. Linear combination of vectors, Linear independent vectors. Change of Basis
6. Scalar products, Orthonormal basis
7. Areas, vektor products,volumes and determinants
8. Lines and Plane in Space
9. Linear imaging/depictions. It's definition and properties
10. Compostions / Combinations and Inverses.
Kernel (linear operator) and Range
11.Matrix productions in different basis. Isometric Images/depections
12. Diagonalization of linear images.

 

[DryRun]

Lay is a good book. Get the latest edition.

Linear Algebra and Its Applications 4th Edition by Gilbert Strang. Also check his video lectures online available for free.

And for revision: Schaum's outline of linear algebra.

 

[Riazy]

Whats your opinion about Goodaire?

https://www.amazon.com/dp/0130470171/?tag=pfamazon01-20

I am unable to find any sample of that book to preview before buying it.

 

[mathwonk]

see what you think of this one:

http://books.google.com/books/about/Linear_algebra.html?id=5U6loPxlvQkC

or some of the others on the same web page.

 

[rezeew]

I would recommend taking a look at "Linear Algebra: A Modern Introduction" by David Poole. This book covers all the topics listed in your syllabus and provides a thorough and detailed explanation of each concept. It also includes numerous examples and exercises to help reinforce your understanding. Additionally, the author's writing style is clear and easy to follow, making it a great resource for studying in another language. Another book that may be helpful is "Linear Algebra Done Right" by Sheldon Axler, which focuses on the theoretical aspects of linear algebra and provides a rigorous treatment of the subject. I hope these suggestions help and wish you success in your studies!