I have a Ph.D in physics, and along the way I've had to learn quantum mechanics forwards and backwards. Quantum mechanics single most powerful tool is linear algebra. I've taken the college upper division course in LA, and have studied LA's theorem-proof aspects (Hermetian operators have strictly real eigenvalues, etc.) in my various math methods courses in undergraduate and graduate physics. I've also helped friends and classmates understand null spaces, orthogonal basis sets, singular value decomposition and other tricks of the LA trade. I'm confident I can handle any question in LA with minimal prep time.