1. The problem statement, all variables and given/known data I have a matrix and need to show that it is a subspace of ℝn using the eigenspace identity of: Ax = λx, where x is the eigenvector. 2. Relevant equations 3. The attempt at a solution I know that for a subspace, you need to show that it holds under addition, scalar multiplication, and that the zero vector is present. But I don't know how to get started on this... any hints? Thanks!