4. Let S be a subspace of lit\" and 01 0,1???\" 10 a basis of S. In addition let A E RM\" and b E lit\" be dened as 1 A=O 0 ILDD': U 1 and b = 1 ILLoIl (a) (2p) Compute an Aorthogonal basis {330,101} for S. (b) (2p) Find an approximate solution at: to A3: = b by minimising the related quadratic functional using the line search method. Use initial guess :30 = [l and search directions p0 and p1 computed in (a). {(3) [2p) Can you nd better approximate solution than i: to .17 from S in the Anorm'? J ustify your