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

[BingoGod]

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

 

[wisvuze]

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

 

[BingoGod]

Thanks for the recommendations, I looked into Linear Algebra Done Right and I think that is the text for me