linear algebra

Given the system Ax = 1) below: 1 2 4 IL} 1 _ 4 1 1 x' 5 2 3 G (a) Find the Least Squares solution i of this system. [I-lint: if you get awful l'raetions1 check your work!] {h} Find the projection p of h onto the eolmnn space of A. [I-lint: use 11.] [12} Find the residual r = h p. [d] Verify that r E N[AT}1 i.e., that the residual is in the nullspaee of the transpose of A. {e} Did you actually solve the given 4 X 2 system? If not, what 1 X 2 system did you solve? Explain briey