Determinantenverfahren und Laplace´scher Entwicklungssatz

using System;

using System.Collections.Generic;

using System.Text;

namespace Cramersche_Regel

{

class Program

{

static void Main(string[] args)

{

Console.WriteLine("tttDie Cramersche Regel");

Console.WriteLine();

Console.WriteLine();

Console.WriteLine("Formel:");

Console.WriteLine("ax + ay + az = ad");

Console.WriteLine("bx + by + bz = bd");

Console.WriteLine("cx + cy + cz = cd");//(1)



double ax, bx, cx;

double ay, by, cy;

double az, bz, cz;

double ad, bd, cd;

double D, Dx, Dy, Dz;//(2)



Console.WriteLine();

Console.WriteLine();

Console.WriteLine("Geben Sie alle x-Werte ein ein!");

Console.WriteLine();

ax = Convert.ToDouble(Console.ReadLine());

bx = Convert.ToDouble(Console.ReadLine());

cx = Convert.ToDouble(Console.ReadLine());//(3)

Console.WriteLine();

Console.WriteLine("Geben Sie alle y-Werte ein!");

Console.WriteLine();

ay = Convert.ToDouble(Console.ReadLine());

by = Convert.ToDouble(Console.ReadLine());

cy = Convert.ToDouble(Console.ReadLine());//(4)

Console.WriteLine();

Console.WriteLine("Geben Sie alle z-Werte ein!");

Console.WriteLine();

az = Convert.ToDouble(Console.ReadLine());

bz = Convert.ToDouble(Console.ReadLine());

cz = Convert.ToDouble(Console.ReadLine());//(5)

Console.WriteLine();

Console.WriteLine("Geben Sie alle d-Werte ein!");

Console.WriteLine();

ad = Convert.ToDouble(Console.ReadLine());

bd = Convert.ToDouble(Console.ReadLine());

cd = Convert.ToDouble(Console.ReadLine());//(6)

Console.WriteLine();

Console.WriteLine();



D = ax * (by * cz - bz * cy) - ay * (bx * cz - bz * cx) + az * (bx * cy - by * cx);

Console.Write(" D = " + D);

Console.WriteLine();

Dx = ad * (by * cz - bz * cy) - ay * (bd * cz - bz * cd) + az * (bd * cy - by * cd);

Console.Write(" Dx = " + Dx);

Console.WriteLine();

Dy = ax * (bd * cz - bz * cd) - ad * (bx * cz - bz * cx) + az * (bx * cd - bd * cx);

Console.Write(" Dy = " + Dy);

Console.WriteLine();

Dz = ax * (by * cd - bd * cy) - ay * (bx * cd - bd * cx) + ad * (bx * cy - by * cx);//(7)

Console.Write(" Dz = " + Dz);

Console.WriteLine();

Console.WriteLine();

Console.WriteLine("x = " + Dx / D);

Console.WriteLine();

Console.WriteLine("y = " + Dy / D);

Console.WriteLine();

Console.WriteLine("z = " + Dz / D);//(8)

Console.ReadLine();

}

}

}

Peter und Philipp