public static int Test_RationalSquareMatrix()
{
RationalFactory rf = new RationalFactory();
RealFactory rff = new RealFactory();
RationalSquareMatrix A = rf[3, 3,
"1", "2", "-2",
"-1", "1", "3",
"2", "-1", "2"
];
SquareRealMatrix SA = rff[3, 3,
7, 2, -2,
3, 1, 3,
8, -1, 2
];
RationalVector rv = rf["7", "3", "8"];
StringBuilder sb = new StringBuilder();//Start building latex
sb.Append(@"\begin{aligned}");
sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix
A[0] = rv;
sb.AppendFormat(@"&Ab = {0}", A.ToLatex()); //display Vec A
sb.AppendFormat(@"&Det = {0}", SA.Determinant()); //display Vec A
sb.Append(@"\end{aligned}");
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_VecOperator.html"); //display Latex via mathjax
return(0);
}
public static int Test_KroneckerSum()
{
RealFactory rf = new RealFactory();
SquareRealMatrix A = rf[2, 2,
1, -1,
0, 2
];
SquareRealMatrix B = rf[2, 2,
1, 0,
2, -1
];
StringBuilder sb = new StringBuilder();//Start building latex
sb.Append(@"\begin{aligned}");
sb.AppendFormat(@"&A = {0}\;B = {1}", A.ToLatex(), B.ToLatex() + @" \\ \\");
sb.AppendFormat(@"&C = A\;\oplus\;B = {0}", SquareRealMatrix.KroneckerSum(A, B).ToLatex());
sb.Append(@"\end{aligned}");
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_KroneckerSum.html"); //display Latex via mathjax
return(0);
}
public static int Test_VecOperator()
{
RealFactory rf = new RealFactory(); //create a real factory
SquareRealMatrix A = rf[2, 2, //create a 2 X 2 real matrix
1, 2,
3, 4
];
RealVector VecA = A.Vec("A"); //use Vec operator giving the matrix a name
StringBuilder sb = new StringBuilder(); //Start building latex
sb.Append(@"\begin{aligned}");
sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix
sb.AppendFormat(@"&{0}", VecA.ToLatex("F")); //display Vec A
sb.Append(@"\end{aligned}");
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_VecOperator.html"); //display Latex via mathjax
return(0);
}
public static int Test_TraceFunction()
{
RealFactory rf = new RealFactory(); //create a real factory
SquareRealMatrix A = rf[3, 3, //create a 3 X 3 real matrix
1, 2, 3,
7, 8, 9,
6, 5, 4
];
StringBuilder sb = new StringBuilder();//Start building latex
sb.Append(@"\begin{aligned}");
sb.AppendFormat(@"&A = {0}", A.ToLatex() + @" \\ \\"); //display A matrix
sb.AppendFormat(@"&tr A = {0}", A.Trace() + @" \\ \\"); //display trace
sb.Append(@"\end{aligned}");
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_TraceFunction.html"); //display Latex via mathjax
return(0);
}