With using the algebraic approach Lie symmetries of Schr\"odinger equations with matrix potentials are classified. Thirty three inequivalent such type together related symmetry groups specified, admissible equivalence relations clearly indicated. In particular Boyer results concerning kinematical invariance for arbitrary (C. P. Boyer, Helv. Phys. Acta, {\bf 47}, 450--605 (1974)) clarified and c...