public static double Determinant0(double[,] matrix)
{
switch (matrix?.GetLength(0))
{
case null: return(0);
case 1:
{
return(matrix[0, 0]);
}
case 2:
{
return(MatrixDeterminant2x2Tests.Determinant(
matrix[0, 0], matrix[0, 1],
matrix[1, 0], matrix[1, 1]));
}
case 3:
{
return(MatrixDeterminant3x3Tests.Determinant(
matrix[0, 0], matrix[0, 1], matrix[0, 2],
matrix[1, 0], matrix[1, 1], matrix[1, 2],
matrix[2, 0], matrix[2, 1], matrix[2, 2]));
}
case 4:
{
return(MatrixDeterminant4x4Tests.Determinant(
matrix[0, 0], matrix[0, 1], matrix[0, 2], matrix[0, 3],
matrix[1, 0], matrix[1, 1], matrix[1, 2], matrix[1, 3],
matrix[2, 0], matrix[2, 1], matrix[2, 2], matrix[2, 3],
matrix[3, 0], matrix[3, 1], matrix[3, 2], matrix[3, 3]));
}
case 5:
{
return(MatrixDeterminant5x5Tests.Determinant(
matrix[0, 0], matrix[0, 1], matrix[0, 2], matrix[0, 3], matrix[0, 4],
matrix[1, 0], matrix[1, 1], matrix[1, 2], matrix[1, 3], matrix[1, 4],
matrix[2, 0], matrix[2, 1], matrix[2, 2], matrix[2, 3], matrix[2, 4],
matrix[3, 0], matrix[3, 1], matrix[3, 2], matrix[3, 3], matrix[3, 4],
matrix[4, 0], matrix[4, 1], matrix[4, 2], matrix[4, 3], matrix[4, 4]));
}
case 6:
{
return(MatrixDeterminant6x6Tests.Determinant(
matrix[0, 0], matrix[0, 1], matrix[0, 2], matrix[0, 3], matrix[0, 4], matrix[0, 5],
matrix[1, 0], matrix[1, 1], matrix[1, 2], matrix[1, 3], matrix[1, 4], matrix[1, 5],
matrix[2, 0], matrix[2, 1], matrix[2, 2], matrix[2, 3], matrix[2, 4], matrix[2, 5],
matrix[3, 0], matrix[3, 1], matrix[3, 2], matrix[3, 3], matrix[3, 4], matrix[3, 5],
matrix[4, 0], matrix[4, 1], matrix[4, 2], matrix[4, 3], matrix[4, 4], matrix[4, 5],
matrix[5, 0], matrix[5, 1], matrix[5, 2], matrix[5, 3], matrix[5, 4], matrix[5, 5]));
}
default:
return(Determinant(matrix));
}
}
public static double InverseDeterminant0(
double a, double b, double c, double d, double e,
double f, double g, double h, double i, double j,
double k, double l, double m, double n, double o,
double p, double q, double r, double s, double t,
double u, double v, double w, double x, double y)
{
return(1d / ((a * MatrixDeterminant4x4Tests.Determinant(g, h, i, j, l, m, n, o, q, r, s, t, v, w, x, y))
- (b * MatrixDeterminant4x4Tests.Determinant(f, h, i, j, k, m, n, o, p, r, s, t, u, w, x, y))
+ (c * MatrixDeterminant4x4Tests.Determinant(f, g, i, j, k, l, n, o, p, q, s, t, u, v, x, y))
- (d * MatrixDeterminant4x4Tests.Determinant(f, g, h, j, k, l, m, o, p, q, r, t, u, v, w, y))
+ (e * MatrixDeterminant4x4Tests.Determinant(f, g, h, i, k, l, m, n, p, q, r, s, u, v, w, x))));
}
public static double Determinant0(
double m1x1, double m1x2, double m1x3, double m1x4, double m1x5,
double m2x1, double m2x2, double m2x3, double m2x4, double m2x5,
double m3x1, double m3x2, double m3x3, double m3x4, double m3x5,
double m4x1, double m4x2, double m4x3, double m4x4, double m4x5,
double m5x1, double m5x2, double m5x3, double m5x4, double m5x5)
{
return((m1x1 * MatrixDeterminant4x4Tests.Determinant(m2x2, m2x3, m2x4, m2x5, m3x2, m3x3, m3x4, m3x5, m4x2, m4x3, m4x4, m4x5, m5x2, m5x3, m5x4, m5x5))
- (m1x2 * MatrixDeterminant4x4Tests.Determinant(m2x1, m2x3, m2x4, m2x5, m3x1, m3x3, m3x4, m3x5, m4x1, m4x3, m4x4, m4x5, m5x1, m5x3, m5x4, m5x5))
+ (m1x3 * MatrixDeterminant4x4Tests.Determinant(m2x1, m2x2, m2x4, m2x5, m3x1, m3x2, m3x4, m3x5, m4x1, m4x2, m4x4, m4x5, m5x1, m5x2, m5x4, m5x5))
- (m1x4 * MatrixDeterminant4x4Tests.Determinant(m2x1, m2x2, m2x3, m2x5, m3x1, m3x2, m3x3, m3x5, m4x1, m4x2, m4x3, m4x5, m5x1, m5x2, m5x3, m5x5))
+ (m1x5 * MatrixDeterminant4x4Tests.Determinant(m2x1, m2x2, m2x3, m2x4, m3x1, m3x2, m3x3, m3x4, m4x1, m4x2, m4x3, m4x4, m5x1, m5x2, m5x3, m5x4)));
}
