public void TestCreateRowEchelonForm()
{
Matrix mat = new Matrix()
{
{ 1, 1, 2, 0 },
{ 0, 1, -1, 0 },
{ 3, 4, 5, 0 },
{ 3, 5, 4, 0 }
};
LinearSystem ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
Assert.AreEqual(ls.CoefficientMatrix,
new Matrix
{
{ 1, 1, 2, 0 },
{ 0, 1, -1, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 }
});
mat = new Matrix()
{
{ 1, 1, -1, 2 },
{ -2, 0, 1, -2 },
{ 5, -1, 2, 4 },
{ 2, 6, -3, 5 }
};
ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
Assert.AreEqual(ls.CoefficientMatrix,
new Matrix
{
{ 1, 1, -1, 2 },
{ 0, 1, -0.5, 1 },
{ 0, 0, 1, 0 },
{ 0, 0, 0, -3 }
});
}
public void TestBothTriangularCoefficientMatrix()
{
Matrix mat = new Matrix()
{
{ 1, 1, -1, 2 },
{ -2, 0, 1, -2 },
{ 5, -1, 2, 4 },
{ 2, 6, -3, 5 }
};
LinearSystem ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
ls.CreateUpperTriangularCoefficientMatrix();
Assert.AreEqual(ls.CoefficientMatrix,
new Matrix
{
{ 1, 0, 0, 1 },
{ 0, 1, 0, 1 },
{ 0, 0, 1, 0 },
{ 0, 0, 0, -3 }
});
mat = new Matrix()
{
{ 1, 1, -1, 2 },
{ -2, 0, 1, -2 },
{ 5, -1, 2, 4 },
{ 2, 6, -3, 5 }
};
ls = new LinearSystem(mat);
ls.CreateUpperTriangularCoefficientMatrix();
ls.CreateLowerTriangularCoefficientMatrix();
Assert.AreEqual(ls.CoefficientMatrix,
new Matrix
{
{ 1, 0, 0, 1 },
{ 0, 1, 0, 1 },
{ 0, 0, 1, 0 },
{ 0, 0, 0, -3 }
});
mat = new Matrix()
{
{ 2, 3, 4 },
{ 3, 2, 2 },
};
ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
ls.CreateUpperTriangularCoefficientMatrix();
Assert.IsTrue(ls.CoefficientMatrix.Equals(
new Matrix
{
{ 1, 0, -0.4 },
{ 0, 1, 1.6 },
}));
mat = new Matrix()
{
{ 6, 7, 5 },
{ 1, 1, 0 },
};
ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
ls.CreateUpperTriangularCoefficientMatrix();
Assert.IsTrue(ls.CoefficientMatrix.Equals(
new Matrix
{
{ 1, 0, -5 },
{ 0, 1, 5 },
}));
mat = new Matrix()
{
{ 2, -3, 9 },
{ 0, 1, 2 },
};
ls = new LinearSystem(mat);
ls.CreateLowerTriangularCoefficientMatrix();
ls.CreateUpperTriangularCoefficientMatrix();
Assert.IsTrue(ls.CoefficientMatrix.Equals(
new Matrix
{
{ 1, 0, 7.5 },
{ 0, 1, 2 },
}));
}