APM2613
Numerical Methods I - APM2613
ASSIGNMENT 2
FULL SOLUTIONS
UNISA
2025
Assessment 2
NAME: ________________________________
STUDENT NUMBER: ___________________
,SOLUTION:
(1.1) MATLAB
A = [3.03, -12.1, 14; -3.03, 12.1, -7; 6.11, -14.2, 21];
b = [-119; 120; -139];
x_actual = [0; 10; 1/7];
x_computed = A \ b; % Solve Ax = b using built-in solver
OR
OCTAVE
octave:1> A = [3.03, -12.1, 14; -3.03, 12.1, -7; 6.11, -14.2, 21];
octave:2> b = [-119; 120; -139];
octave:3> x=inv(A)*b;
octave:4> inv(A)*b
ans =
-4.5519e-15
1.0000e+01
1.4286e-01
, • Pivot row = Row 3 (largest ratio). Swap Row 1 and Row 3.
Numerical Methods I - APM2613
ASSIGNMENT 2
FULL SOLUTIONS
UNISA
2025
Assessment 2
NAME: ________________________________
STUDENT NUMBER: ___________________
,SOLUTION:
(1.1) MATLAB
A = [3.03, -12.1, 14; -3.03, 12.1, -7; 6.11, -14.2, 21];
b = [-119; 120; -139];
x_actual = [0; 10; 1/7];
x_computed = A \ b; % Solve Ax = b using built-in solver
OR
OCTAVE
octave:1> A = [3.03, -12.1, 14; -3.03, 12.1, -7; 6.11, -14.2, 21];
octave:2> b = [-119; 120; -139];
octave:3> x=inv(A)*b;
octave:4> inv(A)*b
ans =
-4.5519e-15
1.0000e+01
1.4286e-01
, • Pivot row = Row 3 (largest ratio). Swap Row 1 and Row 3.
