My understanding is that Spivak's Calculus is widely considered the finest textbook in Calculus, a thing of beauty. I like it in that it both teaches Calculus as well as several other important concepts in higher math generally--all through a very finely selected collection of exercises.
Is there an equivalent text on Linear Algebra?
On
I would say finite dimensional vector spaces. The underlying reason being primarily the way it is "spoken of" from other math majors. Perhaps an alternative would be Hoffman and Kunze.
Linear Algebra Done Right, by Sheldon Axler