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IML.Solve

Solves a system of linear equations.
Syntax
          
IML.Solve(M:MAT, B:MAT):MAT

          

Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

Let M and B be matrices defined over the ring of integers, a finite field or the field of rationals. This function tries to solve the linear equation system M*X = B by using the ApCoCoAServer supported by the IML library.

The return value will be a solution vector of the linear equation system or an empty matrix if no solution has been found.

Example
Use ZZ/(19)[x];
M := BringIn(Mat([[1,3,4], [0,2,1]]));
B := BringIn(Mat([[1], [2]]));
IML.Solve(M, B);
-------------------------------
Mat([
  [-2 % 19],
  [1 % 19],
  [0 % 19]
])
-------------------------------


Example
Use QQ[x];
M := Mat([ [1,3,4], [0,2,1], [1,3,4] ]);
B := Mat([ [1], [2], [0] ]);
IML.Solve(M, B);
-------------------------------
Mat([
  [ ]
])
-------------------------------


See Also