1. The problem statement, all variables and given/known data operators: K=LM and [L,M]=1 α is an eigenvector of K with eigenvalue λ. Show that x=Lα and y=Mα are also eigenvectors of K and also find their eigenvalues. 2. Relevant equations K=LM [L,M]=1 Kα=λα 3. The attempt at a solution I tried, but its not even worth putting up here.