Good choice of books for my linear algebra syllabus

AI Thread Summary
A discussion on selecting suitable linear algebra textbooks highlights the need for comprehensive resources tailored to specific syllabi, particularly in non-English languages. Participants recommend "Linear Algebra" by David Lay and Anton, emphasizing its clarity. "Linear Algebra and Its Applications" by Gilbert Strang is also suggested, along with his free online video lectures for supplementary learning. For revision purposes, "Schaum's Outline of Linear Algebra" is mentioned as a useful resource. The conversation includes inquiries about the book by Goodaire, with participants expressing interest in its content but noting the difficulty in accessing previews. The focus remains on finding detailed theoretical coverage of key linear algebra topics, including linear equations, matrices, vectors, and transformations.
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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.
 
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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.
 

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