My school does not require physics majors to take linear algebra. I've noticed that some schools have a course called "differential equations and linear algebra" that is taken after the calc sequence but we only have to take ODE. There is a matrix theory class that math majors take that I've been considering but is it really necessary? There is also a math methods course offered through the physics department but I think it mainly covers complex analysis. Am I cutting myself short by not taking a formal linear algebra class?