Experiments

1. Solving Linear Systems
   1. Create the A matrix and B vector for each of the problems 9 through 12 on pp. 228-229, D.M.Etter, Engineering Problem Solving with MATLAB, Prentice Hall, 1993.
   2. Use your MATLAB program to solve for the vector of unknowns for each of those problems.
2. Ill-Conditioned Problems
   1. Let the A matrix be [2 3; 4+100*eps 6], and the B vector be [5;-7].
   2. Use your program to solve for the unknowns.
   3. Repeat the above two steps when A=[2 3; 4-100*eps 6] with the same B vector.
   4. Using format long e, display the results of those 2 experiments.
3. Over- and Under-Constrained Problems
   1. Let A=[1 1;2 1;3 1;4 1;5 1] and B=[9;17;23;24;30]. Use your program to solve for the unknowns. Using your X, compute the error .
   2. Repeat the above for A=[1 -3 5 6;2 4 -9 17;-3 3 6 11] and B=[13;-23;1].