Baby Rudin is indeed awesome. I feel like Linear Algebra Done Right is a great book, but it is a better second book about Linear Algebra, rather than a good fi

Baby Rudin is indeed awesome. I feel like Linear Algebra Done Right is a great book, but it is a better second book about Linear Algebra, rather than a good first book. Actually, I think the whole subject deserves a fairly mechanical treatment first, and only then an explanation of the underlying math. I think it would make sense to introduce Matrix multiplication and related concepts to students in high school, so they become completely mechanical - much like we teach students how to differentiate functions as a purely mechanical process.