1. The problem statement, all variables and given/known data Suppose that v is an eigenvector of both A and B with corresponding eigenvalues lambda and mui respectively. Show that v is an eigenvector of A+B and of AB and determine the corresponding eigenvalues 2. Relevant equations 3. The attempt at a solution Av = lambda*v Bv = mui*v this is all i can think of....can someone give me a hint abt the next step?