>>11319093Well then you'll want determinants because of Jacobians. I forgot about that, that's another important place for determinants.
Probably don't use axler. You won't need an incredibly theoretical text, LADW should be fine.
But honestly I don't really know what kind of linear algebra you'll be using. The first few sections of Spivak's Calculus on Manifolds might be more relevant (one of them is just a short crash course of the linear algebra he needs you to know, which will be the same for any multivariable analysis course. think his first chapter is just multivariable analysis stuff.) PDFs easily found online.