Find a basis for each of these subspaces of R4
All vectors that are perpendicular to (1,1,0,0) and (1,0,1,1)
2. The attempt at a solution
I'm not sure how to approach this question. The only thing I can think of is that a vector that would be perpendicular to both would be where the dot product would equal zero aye?
So then that would give me
1x1 + 1x2 = 1x1 + 1x3 + 1x4 = 0.
So in which case, I'd do RREF
I get stuck here because I'm not sure how to solve for the basis at this point.
I'm also unsure if what I did for rref was correct because vectors are usually denoted by column spaces, rather than what row spaces such as what I have done.