1. The problem statement, all variables and given/known data If V is the orthogonal complement of W in Rn, is there such a matrix with row space V and nullspace W? Starting with a basis for V, construct such a matrix. 3. The attempt at a solution I've been trying to use the fact that V is the left nullspace of the column space of W to get to a matrix with row space V but I haven't been able to get anywhere. A push in the right direction would be really helpful right now.