Question: I NEED HELP WITH PART (C)!!! Consider the linear system of equation Ax = b, where 1/2 1/3 1/4 1/5 1/6 1/3 1/4 1/5 1/6

I NEED HELP WITH PART (C)!!!

I NEED HELP WITH PART (C)!!! Consider the linear system of

Consider the linear system of equation Ax = b, where 1/2 1/3 1/4 1/5 1/6 1/3 1/4 1/5 1/6 1/7 0.882 0.744 b= | 0.618 0.521 0.447 A-1/4 1/5 1/6 1/7 1/8, 1/5 1/6 1/7 1/8 1/9 Suppose you have in some way obtained the approximate solution vector to this system: 2.1333 0.6258 x=| 17.4552 -11.8692 1.4994 It is then easy to show that the residual becomes exactly 0.00001 0.00001 0.00001 0.00001 (a) Does this imply that is close to the exact solution x? (b) Use MATLAB to obtain an accurate solution to the given system. (c) Use MATLAB again to obtain a condition number for A. Use the appropriate result on perturbations of the right hand side (RHS) of a linear system to confirm that this very small residual indeed is big enough to allow for the solution to be as far away from the correct one as occurs in this example

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