diff --git a/applications/test/Matrix/Test-Matrix.C b/applications/test/Matrix/Test-Matrix.C
index 9663ae8217..380576d695 100644
--- a/applications/test/Matrix/Test-Matrix.C
+++ b/applications/test/Matrix/Test-Matrix.C
@@ -116,17 +116,19 @@ int main(int argc, char *argv[])
         squareMatrix[2][1] = -43;
         squareMatrix[2][2] = 98;
 
+        const scalarSquareMatrix squareMatrixCopy = squareMatrix;
         Info<< nl << "Square Matrix = " << squareMatrix << endl;
 
-        scalarDiagonalMatrix rhs(3, 0);
-        rhs[0] = 1;
-        rhs[1] = 2;
-        rhs[2] = 3;
+        Info<< "det = " << det(squareMatrixCopy) << endl;
 
-        LUsolve(squareMatrix, rhs);
+        labelList rhs(3, 0);
+        label sign;
+        LUDecompose(squareMatrix, rhs, sign);
 
         Info<< "Decomposition = " << squareMatrix << endl;
-        Info<< "Solution = " << rhs << endl;
+        Info<< "Pivots = " << rhs << endl;
+        Info<< "Sign = " << sign << endl;
+        Info<< "det = " << detDecomposed(squareMatrix, sign) << endl;
     }
 
     Info<< "\nEnd\n" << endl;
diff --git a/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.C b/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.C
new file mode 100644
index 0000000000..439257fcb6
--- /dev/null
+++ b/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.C
@@ -0,0 +1,73 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "SquareMatrix.H"
+#include "labelList.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+template<class Type>
+Foam::scalar Foam::detDecomposed
+(
+    const SquareMatrix<Type>& matrix,
+    const label sign
+)
+{
+    scalar diagProduct = 1.0;
+
+    for (label i = 0; i < matrix.n(); ++i)
+    {
+        diagProduct *= matrix[i][i];
+    }
+
+    return sign*diagProduct;
+}
+
+
+template<class Type>
+Foam::scalar Foam::det(const SquareMatrix<Type>& matrix)
+{
+    SquareMatrix<Type> matrixTmp = matrix;
+
+    labelList pivotIndices(matrix.n());
+    label sign;
+    LUDecompose(matrixTmp, pivotIndices, sign);
+
+    return detDecomposed(matrixTmp, sign);
+}
+
+
+template<class Type>
+Foam::scalar Foam::det(SquareMatrix<Type>& matrix)
+{
+    labelList pivotIndices(matrix.n());
+    label sign;
+    LUDecompose(matrix, pivotIndices, sign);
+
+    return detDecomposed(matrix, sign);
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
diff --git a/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.H b/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.H
index 660f39321e..531b649588 100644
--- a/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.H
+++ b/src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.H
@@ -2,7 +2,7 @@
   =========                 |
   \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
    \\    /   O peration     |
-    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
 License
@@ -81,6 +81,21 @@ public:
 };
 
 
+// Global functions
+
+//- Return the LU decomposed SquareMatrix det
+template<class Type>
+scalar detDecomposed(const SquareMatrix<Type>&, const label sign);
+
+//- Return the SquareMatrix det
+template<class Type>
+scalar det(const SquareMatrix<Type>&);
+
+//- Return the SquareMatrix det and the LU decomposition in the original matrix
+template<class Type>
+scalar det(SquareMatrix<Type>&);
+
+
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace Foam
@@ -91,6 +106,12 @@ public:
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
+#ifdef NoRepository
+#   include "SquareMatrix.C"
+#endif
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
 #endif
 
 // ************************************************************************* //
diff --git a/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.C b/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.C
index 68a6955d71..87a9d02347 100644
--- a/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.C
+++ b/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.C
@@ -33,9 +33,22 @@ void Foam::LUDecompose
     scalarSquareMatrix& matrix,
     labelList& pivotIndices
 )
+{
+    label sign;
+    LUDecompose(matrix, pivotIndices, sign);
+}
+
+
+void Foam::LUDecompose
+(
+    scalarSquareMatrix& matrix,
+    labelList& pivotIndices,
+    label& sign
+)
 {
     label n = matrix.n();
     scalar vv[n];
+    sign = 1;
 
     for (register label i=0; i<n; i++)
     {
@@ -113,6 +126,7 @@ void Foam::LUDecompose
                 Swap(matrixj[k], matrixiMax[k]);
             }
 
+            sign *= -1;
             vv[iMax] = vv[j];
         }
 
diff --git a/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.H b/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.H
index 3eecda8ebf..9dbdb8b65d 100644
--- a/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.H
+++ b/src/OpenFOAM/matrices/scalarMatrices/scalarMatrices.H
@@ -79,6 +79,15 @@ void LUDecompose
     labelList& pivotIndices
 );
 
+//- LU decompose the matrix with pivoting.
+//  sign is -1 for odd number of row interchanges and 1 for even number.
+void LUDecompose
+(
+    scalarSquareMatrix& matrix,
+    labelList& pivotIndices,
+    label& sign
+);
+
 //- LU decompose the matrix into a lower (L) and upper (U) part. U = L.T()
 void LUDecompose(scalarSymmetricSquareMatrix& matrix);