- Intro to Linear Algebra, Strang
https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S...
Strang approaches LA from a practical less-theoretical angle, which makes it very sensible if you're an engineer but may not be as suitable if you're a mathematician.
The books by Klein and Strang also benefit from free videos of those courses that are available from Coursera/BrownU and MIT OCW. Klein's is also available on the Kindle.
- Coding the Matrix, Klein https://www.amazon.com/Coding-Matrix-Algebra-Applications-Co... This has a strong emphasis on LA's utility in CS, and includes concepts outside traditional LA that enrich the narrative.
- Intro to Linear Algebra, Strang https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... Strang approaches LA from a practical less-theoretical angle, which makes it very sensible if you're an engineer but may not be as suitable if you're a mathematician.
- Linear Algebra, A Modern Intro, Poole https://www.amazon.com/Linear-Algebra-Introduction-Available... This is a solid text that has worked out most of its bugs over the editions.
- Linear Algebra and its Applications, Lay https://www.amazon.com/Linear-Algebra-Applications-Updated-C... Like Poole, this is also a solid and long running text.
The books by Klein and Strang also benefit from free videos of those courses that are available from Coursera/BrownU and MIT OCW. Klein's is also available on the Kindle.