/// <summary>
/// The function returns the determinent of a Matrix object as Fraction
/// </summary>
public static Fraction Determinent(MATRIX matrix)
{
Fraction det = new Fraction(0);
if (matrix.Rows != matrix.Cols)
{
throw new MatrixException("Determinent of a non-square matrix doesn't exist");
}
if (matrix.Rows == 1)
{
return(matrix[0, 0]);
}
for (int j = 0; j < matrix.Cols; j++)
{
det += (matrix[0, j] * Determinent(MATRIX.Minor(matrix, 0, j)) * (int)System.Math.Pow(-1, 0 + j));
}
return(det);
}
