# How to solve this matrix equation

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Weiqing on 17 Feb 2023
Edited: Les Beckham on 17 Feb 2023 Daniel Vieira on 17 Feb 2023
x=A\b
where A is the matrix and b is the left-hand vector. notice that, since this is not a square matrix, the solution is not exact, but a least-squares approximation.

Les Beckham on 17 Feb 2023
Edited: Les Beckham on 17 Feb 2023
Since there are more equations than unknowns, there is no unique solution. A least-squares solution can be found using the \ operator, documented here: https://www.mathworks.com/help/matlab/ref/mldivide.html
A = [ 0.23 1.77 -2.57
0.83 1.17 -3.94
1.5 0.5 -3.46
1.94 0.06 -1.37
1.17 0.83 3.94
0.06 1.94 1.37 ];
b = [48.8; 41.1; 39.8; 31.2; 46.8; 53.3];
sigma = A\b
sigma = 3×1
17.3243 26.6121 0.8502
A*sigma
ans = 6×1
48.9031 42.1657 36.3510 34.0412 45.7072 53.8317

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