O o o' Given A = Same as for the previous problem: Fill each box using only the lower case label associated with a given option i : x-axis ii : y-axis iii : z-axis iv : xy-plane v : yz-plane vi : xz-plane vii: the R2 space viii: the R' space Note: when asked for what the rangeull space is a subspace of, you only need to answer R" or RS, that is, you input only vii or vili for the first box on each question, without the need to explicitly state which R2 it is. The 2nd part of each question should make the answer more concrete. The range space of A should be a subspace in (for this box, input only vii or vili), it is exactly the The null space of A should be a subspace in (for this box, input only vii or vili), it is exactly the The range space of B should be a subspace in for this box, input only vii or viii), it is exactly the The null space of B should be a subspace in (for this box, input only vii or viii), it is exactly the Hint: Using R2 as example, the x-axis has coordinates (, 0) for any a; the y-axis has coordinates (0, y) for any y. You treat any point with coordinate (x, y) as a vector 8 , thus from the vectors you get you can view them as points in R2. Same is true for R3: You treat any point with coordinate (x, y, z) as a vector y , and vice versa