% Problem 1:
% The A matrix is a 20 by 10 matrix with condition number 1.e1,
% A is stored by row-wise, i.e. the first row, 
% the second row, ...., the 20th row.
%
0.000000e+000 
0.000000e+000 
7.742637e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
9.443252e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
5.994843e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.291550e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-002 
5.994843e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
3.593814e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.291550e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
8.483821e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
3.593814e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
%
% b vector
%
3.442749e-001 
6.762369e-001 
-9.607210e-001 
3.625543e-001 
-2.410380e-001 
6.635920e-001 
5.625768e-003 
4.189428e-001 
-1.422153e-001 
-3.907653e-001 
-6.206925e-001 
-6.131377e-001 
3.644464e-001 
-3.944712e-001 
8.334771e-002 
-6.982540e-001 
3.957970e-001 
-2.432540e-001 
7.200232e-001 
7.073103e-001 

% Problem 2:
% The A matrix is a 20 by 10 matrix with condition number 1.e2,
% A is stored by row-wise, i.e. the first row, 
% the second row, ...., the 20th row.
%
0.000000e+000 
0.000000e+000 
5.994843e-005 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
9.443252e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
3.593814e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-004 
3.593814e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.291550e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
5.994843e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
5.994843e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
8.483821e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.291550e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
%
% b vector
%
3.442749e-001 
6.762369e-001 
-9.607210e-001 
3.625543e-001 
-2.410380e-001 
6.635920e-001 
5.625768e-003 
4.189428e-001 
-1.422153e-001 
-3.907653e-001 
-6.206925e-001 
-6.131377e-001 
3.644464e-001 
-3.944712e-001 
8.334771e-002 
-6.982540e-001 
3.957970e-001 
-2.432540e-001 
7.200232e-001 
7.073103e-001

% Problem 3:
% The A matrix is a 20 by 10 matrix with condition number 1.e4,
% A is stored by row-wise, i.e. the first row, 
% the second row, ...., the 20th row.
%
0.000000e+000 
0.000000e+000 
3.593814e-009 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
9.443252e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.291550e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
5.994843e-007 
1.291550e-005 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-006 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
5.994843e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-004 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-006 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.782559e-008 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
3.593814e-005 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
3.593814e-001 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
8.483821e-003 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
4.641589e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.000000e-008 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
7.742637e-008 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
1.668101e-002 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
2.154435e-007 
0.000000e+000 
0.000000e+000 
0.000000e+000 
0.000000e+000 
%
% b vector
%
.442749e-001 
6.762369e-001 
-9.607210e-001 
3.625543e-001 
-2.410380e-001 
6.635920e-001 
5.625768e-003 
4.189428e-001 
-1.422153e-001 
-3.907653e-001 
-6.206925e-001 
-6.131377e-001 
3.644464e-001 
-3.944712e-001 
8.334771e-002 
-6.982540e-001 
3.957970e-001 
-2.432540e-001 
7.200232e-001 
7.073103e-001 

% Problem 4:
% The A matrix is a 20 by 10 matrix with condition number 1.e8,
% A is stored by row-wise, i.e. the first row, 
% the second row, ...., the 20th row.
%
0.000000e+00 
0.000000e+00 
1.291550e-17 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
9.443252e-03 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.668101e-02 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
7.742637e-08 
0.000000e+00 
0.000000e+00 
0.000000e+00 
5.994843e-07 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
3.593814e-13 
1.668101e-10 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
4.641589e-06 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
2.782559e-12 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
3.593814e-05 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.000000e-08 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
2.154435e-11 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
7.742637e-16 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.291550e-09 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.291550e-01 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
8.483821e-03 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
2.154435e-03 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
1.000000e-16 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
5.994843e-15 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
2.782559e-04 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
4.641589e-14 
0.000000e+00 
0.000000e+00 
0.000000e+00 
0.000000e+00 
%
% b vector
%
3.442749e-01 
6.762369e-01 
-9.607210e-01 
3.625543e-01 
-2.410380e-01 
6.635920e-01 
5.625768e-03 
4.189428e-01 
-1.422153e-01 
-3.907653e-01 
-6.206925e-01 
-6.131377e-01 
3.644464e-01 
-3.944712e-01 
8.334771e-02 
-6.982540e-01 
3.957970e-01 
-2.432540e-01 
7.200232e-01 
7.073103e-01