% 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