Answer to Question #246683 in Math for Thivhu

Question

ThefollowinglinearsystemsAx=bhasxastheactualsolutionand˜xasan appropriatesolution. (a) 0.2x1+0.01x2−0.01x3=0.06 0.2x1+0.5x2−0.2x3=0.3 x1+2x2+4x3=11 x=(1.827586,0.6551724,1.965517)t ˜x=(1.8,0.64,1.9)t (b) 1 2x1+1 3x2=1 63 1 3x1+1 4x2=1 128 x=(1 6 ,1 7 )t ˜x=(0.142,−0.166)t Computeforeachsystem i.x−˜x2 ii.x−˜x∞ iii.κ∞(A)=b−A˜x∞ A∞