1. The problem statement, all variables and given/known data Find a basis for the orthogonal complement of the row space of A: A = [1 0 2 1 1 4] Split x = (3,3,3) into a row space component xr and a nullspace component xn. 3. The attempt at a solution For the first part of the problem I took A to RREF R = [1 0 2 0 1 2] and then solved to find a basis for the nullspace, x * (-2,-2,1), which should be the basis for the orthogonal complement of the row space. I THINK that's right but maybe it's not because I'm stuck on the second part, splitting x = (3,3,3). Do I try to find a vector in Row(A) and a vector in Nul(A) that, when added, produce the vector (3,3,3)? How do I solve for that? Help is very much appreciated! Also, what's the best way to represent a matrix on these message boards?