1. The problem statement, all variables and given/known data What is the relation between the kernel of A and the kernel of (A^2 + A)? 2. Relevant equations 3. The attempt at a solution Break into A^2x = 0 and Ax = 0. We know Ax = 0 because that's the kernel of A, ker(A^2x) is subset of ker(A) so ker(A^2 + A) is a subset of ker (A)????