1. The problem statement, all variables and given/known data We have a matrix Anxn (different than the identity matrix I) and a scalar λ=1. We want to check if λ is an eigenvalue of A. 2. Relevant equations As we know, in order for λ to be an eigenvalue of A, there has to be a non-zero vector v, such that Av=λv 3. The attempt at a solution Av=λv Av=1v Av=v A=I But we know that A is different than I, so λ is not an eigenvalue of A. Is my attempt right? Thanks in advance for your assistance.