What is the smallest subspace of 3 by 3 matrices that contains all symmetric matrices and all lower matrices? What is the largest subspace that is contained in both of those subspaces?
I'm really not sure how to even approach this problem.
What is the smallest subspace of 3 by 3 matrices that contains all symmetric matrices and all lower matrices? What is the largest subspace that is contained in both of those subspaces?
I'm really not sure how to even approach this problem.