WOLFRAM SYSTEM MODELER

# solve2

Solve real system of linear equations A*X=B with a B matrix (Gaussian elimination with partial pivoting)

# Wolfram Language

In[1]:=
`SystemModel["Modelica.Math.Matrices.solve2"]`
Out[1]:=

# Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

#### Syntax

```Matrices.solve2(A,b);
```

#### Description

This function call returns the solution X of the linear system of equations

A*X = B

If a unique solution X does not exist (since A is singular), an assertion is triggered. If this is not desired, use instead Matrices.leastSquares2 and inquire the singularity of the solution with the return argument rank (a unique solution is computed if rank = size(A,1)).

Note, the solution is computed with the LAPACK function "dgesv", i.e., by Gaussian elimination with partial pivoting.

#### Example

```  Real A[3,3] = [1,2,3;
3,4,5;
2,1,4];
Real B[3,2] = [10, 20;
22, 44;
12, 24];
Real X[3,2];
algorithm
X := Matrices.solve2(A, B);  /* X = [3, 6;
2, 4;
1, 2] */
```