write a matlab code to solve this problem using Matlab below
Please make sure it works
Thank You
MATLAB Code:
close all
clear
clc
A = [-1 0 0 1;
0 0 1 -1;
0 1 -1 0;
1 -1 0 0]
b = [130; 60; -240; 50]
Ag = [A b] % Augmented Matrix
rref_Ag = rref(Ag) % Row reduced echelon form
fprintf('Rank(A) = Rank(Ag) = 3, but < 4 => Infinite number
of solutions.\n')
fprintf('\tx1 = k - 130\n\tx2 = k - 180\n\tx3 = k + 60\n\tx4 = k (k
= variable)\n')
fprintf('Eg: For k = 400\n')
k = 400;
fprintf('\tx1 = %d\n\tx2 = %d\n\tx3 = %d\n\tx4 = %d\n', k - 130, k
- 180, k + 60, k)
Output:
A =
-1 0 0 1
0 0 1 -1
0 1 -1 0
1 -1 0 0
b =
130
60
-240
50
Ag =
-1 0 0 1 130
0 0 1 -1 60
0 1 -1 0 -240
1 -1 0 0 50
rref_Ag =
1 0 0 -1 -130
0 1 0 -1 -180
0 0 1 -1 60
0 0 0 0 0
Rank(A) = Rank(Ag) = 3, but < 4 => Infinite number of
solutions.
x1 = k - 130
x2 = k - 180
x3 = k + 60
x4 = k (k = variable)
Eg: For k = 400
x1 = 270
x2 = 220
x3 = 460
x4 = 400
Write a matlab code to solve this problem using Matlab below Please make sure it works Thank You ...
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