Fundamental solution of homogeneous linear equations: Ax=0 with Det(A)=0 with MathNet
1
I am trying to solve a system 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 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 (B=0, Det(A)=0).
Thanks
c# linear-algebra mathnet linear-equation
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
add a comment |
1
I am trying to solve a system 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 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 (B=0, Det(A)=0).
Thanks
c# linear-algebra mathnet linear-equation
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
Are all the coefficientsinteger?
– Dmitry Bychenko
Nov 15 '18 at 7:24
1
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32
add a comment |
1
1
1
I am trying to solve a system 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 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 (B=0, Det(A)=0).
Thanks
c# linear-algebra mathnet linear-equation
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
I am trying to solve a system 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 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 (B=0, Det(A)=0).
Thanks
c# linear-algebra mathnet linear-equation
c# linear-algebra mathnet linear-equation
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
edited Nov 15 '18 at 7:05
Vladimir Belobrodskiy
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
asked Nov 15 '18 at 7:00
Vladimir BelobrodskiyVladimir Belobrodskiy
62
62
I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
Are all the coefficientsinteger?
– Dmitry Bychenko
Nov 15 '18 at 7:24
1
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32
add a comment |
I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
Are all the coefficientsinteger?
– Dmitry Bychenko
Nov 15 '18 at 7:24
1
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32
I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
Are all the coefficients
integer?– Dmitry Bychenko
Nov 15 '18 at 7:24
Are all the coefficients
integer?– Dmitry Bychenko
Nov 15 '18 at 7:24
1
1
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32
add a comment |
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I'm voting to close this question as off-topic because it belongs on math.stackexchange.com
– stealthyninja
Nov 15 '18 at 7:13
Are all the coefficients
integer?– Dmitry Bychenko
Nov 15 '18 at 7:24
1
@stealthyninja as I understood you suggested me math forum. But my task trivial and I just want to find only MathNet code in C# for solve this
– Vladimir Belobrodskiy
Nov 15 '18 at 7:27
@DmitryBychenko unfortunately no! In a real task it is double or float! But solution for integer also could be interested for me
– Vladimir Belobrodskiy
Nov 15 '18 at 7:32