Problem 2. Let T E L(V) be a self-adjoint operator, and order the eigenvalues of T as Al

Problem 2. Let T e C(V) be a self-adjoint operator, and order the eigenvalues of T as Hint: < An. Prove that Ak max min {RT(x) : x e W \ : dim W n k + 1 Use a similar proof as the one in notes, but for the first part choose the subspace span{vl, ... , and for the second part choose U span{vk, ... v