I don't think you can cleanly separate the topics. Most applications of linear algebra come from calculus since after all you use calculus to linearize somethin

I don't think you can cleanly separate the topics. Most applications of linear algebra come from calculus since after all you use calculus to linearize something. In case it was already linear it's probably a linear differential equation -> calculus again. Complex analysis is also closely related to linear algebra via geometric algebra. Rather than teaching them separately and emphasizing linear algebra more, it would make more sense to approach calculus + linear algebra as an integrated subject.