Let A be the matrix [2 0 1 0 1 -1 4 3 3 -1 5 3] Let b= [b1 b2 b3] transpose What equation must be satisfied by the components of b in order to guarantee that there will exists a vector x= [x1 x2 x3 x4] transpose satisfying the equation Ax=b. Justify your answer. I know C(A) is the orthogonal component of the left nullspace. Also I know that the rank of the matrix of is 2 and b must belong to the column space. Where do I go from here? This is not a homework question, I am simply trying to get a better understanding of the subspaces. I am a much better learner for things with physical applications and these ideas have been far to abstract for my liking.