Problem 2 (GS 3.3.18) We want to fit a plane y=C + Dt + Ez to the four points y=3 at t=1,z=1 y=5 at t= 2,z=1 y=6 at 1=0,2 = 3 y=0) at t=0,z=0. (a) Express the overdetermined system in matrix form Ax = b and find the least square solution XLs that minimizes || b Ax||. (b) If we perform row reduction on A before calculating the least square, then the system will be transformed into Ax = B where A is an echelon matrix. Is the least square solution to this new formula the same as the original Xls obtained above? If not, why? Problem 2 (GS 3.3.18) We want to fit a plane y=C + Dt + Ez to the four points y=3 at t=1,z=1 y=5 at t= 2,z=1 y=6 at 1=0,2 = 3 y=0) at t=0,z=0. (a) Express the overdetermined system in matrix form Ax = b and find the least square solution XLs that minimizes || b Ax||. (b) If we perform row reduction on A before calculating the least square, then the system will be transformed into Ax = B where A is an echelon matrix. Is the least square solution to this new formula the same as the original Xls obtained above? If not, why