1. The problem statement, all variables and given/known data (x,y,z) where 2x + 2y + z = 1 Is this set a subspace of R^3? 3. The attempt at a solution I am thinking it is not since it does not contain the origin since 2(0)+2(0) + 0 = 1 0 != 1 (!= means not equal) Am I right? I am kind of having trouble with this part of linear algebra since the textbook is so vague about this.