System of homogeneous linear equations: Ax=0 with Det(A)=0

@Vladimir wrote:

Hello!

I am trying to solve a systems of homogeneous linear equations like Ax=0.

Here is an example matrix which has already been reduced for simplicity:

1 2 | 0
3 6 | 0

The solution I am hoping to get to is at least [ 2, -1 ].
But the fundamental solution is folow: [2C; -1C].
You can see than Det(A)=0 and Rank(A) =1;
Of course you are know that such systems have trivial solution [0,0].

I am trying:

Matrix<double> A = Matrix<double>.Build.DenseOfArray(new double[,] {
    { 1, 2 }, 
    { 3, 6 }, 
});
Vector<double> B = Vector<double>.Build.Dense(new double[] { 0, 0 });

var result = A.Solve(B); //result = Nan, Nan

Please help me find solution for such tasks by MathNet, because in real task the dimention of A more than 20.

The solving for this problem: Math.Net system of linear equations with a 0 value in solution doesnt work for my situation.

Thanks

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