1. The problem statement, all variables and given/known data Let B = S^-1 * A * S and x be an eigenvector of B belonging to an eigenvalue [tex]\lambda[/tex]. Show S*x is an eigenvector of A belonging to [tex]\lambda[/tex]. 2. Relevant equations 3. The attempt at a solution The only place I can think of to start, is that B*x = [tex]\lambda[/tex]*x. However, even starting with that, I can't figure out where to go next. Could someone point me in the right direction?