Let u and w be orthogonal vectors, both of length 1. Let Ru and Sw be linear operators on Es defined by Ruv = V - 2 u, vu Sw ( V) = v + ( w, v w (b) Show that u and w are eigenvectors for both operators Ru and Sw. In each case find the associated eigenvalue. Note you should calculate four eigenvalues: one for each pair of a vector and an operator. (c) Give a geometric description in terms of rotations, reflections and / or scaling for each operator Ru and Sw