(a) Find the least-squares solution x of the system 2 4 -2 2 X= -16 5 9 4 X = -16 (b) Determine the orthogonal projection p = Ax. P = Calculate the residual r(x) = b - Ax. r (x) =b projection P = A x 2 2 3 = 2.3 + (-2) (=2 ) - 2 . 3 + 2 . - 2 5.3 + 3. - 2 10 - 10 9 nresidual ven ) = 6 - An = 20 - 16 - 16 onSolution + Given 2 X -16 2 3 9 a least square solution 5 X - 16 = 2 2 2 2 3 9 5 3 malfiply the rows of the first massin by the column of the second matrix 3 W * = ( :15 ) X Here 17 - 2 - 2 3 3 7 X -7 33 = 51 2 - 7 33 12 7 17 512 3 3 [ :13 ] 15 3 6 512 - 10 2 4 3 - 2