Classical Dynamics of Particles and Systems · Problem 1-4

Newtonian Mechanics—Single Particle — Marion & Thornton

Physics — Mechanics · matrix-algebra

Problem

Show ((a))

(\mathbf{AB})^t = \mathbf{B}^t\mathbf{A}^t

((b))

(\mathbf{AB})^{-1} = \mathbf{B}^{-1}\mathbf{A}^{-1}