[T-zex]

I'm still a beginner and I think Strang's Linear algebra books are more like a supplement material to his lectures. If you need to build a solid theoretical foundation of linear algebra you'd need to consider other resources too.

Having said that, he is explaining many things really well and is helping a lot to build intuition. He is always cautious presenting things that are computationally inefficient and suggests the alternatives.

Exercises are too hard for me personally. I'd prefer a more laborious set of exercises helping to cement the material, (as in calculus or usual algebra) and then have one or two problem solving puzzles at the end.

[srean]

So the focus is on different recipes to cook a matrix with ? Different operations one can do on a matrix ?

I hope its not just that, that would be very limiting considering what linear algebra is about and capable of.

[T-zex]

No, his books are not recipes. The thing I'm struggling to communicate here is that he's got a more pragmatic style compared to other text books. The material he presents is complete and and he is doing great job making it approachable for non mathematicians.

His books usually expand on the subjects he presents at his online lectures. I see them as advanced lecture notes.

[srean]

No worries, not your fault, its really on me (to read the books). Its not really fair of me to ask for a comprehensive description in comments. Thanks for your comments anyhow.