1. The problem statement, all variables and given/known data In each case describe the eigenvalues of the linear operator and a base in R^3 that consist of eigenvectors of the given linear operator. Write the matrix of the operator with respect to the given base. The Orthogonal Projection on the plane 2x + y = 0 and the Symmetry with respect to the plane x - y +2z = 0 2. Relevant equations 3. The attempt at a solution I have no idea where to start, with the projection problem my guess is starting by getting a base of 2x + y =0 Then I'm thinking about using Gramm Schmidt to get orthogonal bases of the given plane. but I don't have a clear idea of how to solve this problem I would appreciate any help and advice thanks a lot.