1. Determinantni hisoblash funksiyasi using System

1. Determinantni hisoblash funksiyasi

using System;

using System.Collections.Generic;

using System.Linq;

using System.Text;

using System.Threading.Tasks;

namespace ConsoleApp1

{

class Program

{

static void Main(string[] args)

{

Console.WriteLine("Matritsa o'lchamini kiriting");

int n = Int32.Parse(Console.ReadLine());

int[,] Matrix = new int[n, n];

for(int i=0;i

{

for (int j = 0; j < n; j++)

{

Console.Write((i + 1) + " satr " + (j + 1) + " ustun elemntlarini kiriting ");

Matrix[i, j] = Int32.Parse(Console.ReadLine());

}

}

Console.WriteLine("Matritsa determinanti " + Determinant(Matrix));

Console.ReadLine();

}

static double Determinant(int[,] matrix)

{

int n = Convert.ToInt32(Math.Sqrt(matrix.Length));

int isaret = 1;

double toplam = 0;

if (n == 1)

{

return matrix[0, 0];

}

for (int i = 0; i < n; i++)

{

int[,] altmatritsa = new int[n - 1, n - 1];

for (int satir = 1; satir < n; satir++)

{

for (int ustun = 0; ustun < n; ustun++)

{

if (ustun < i)

{

altmatritsa[satir - 1, ustun] = matrix[satir, ustun];

}

else if (ustun > i)

{

altmatritsa[satir - 1, ustun - 1] = matrix[satir, ustun];

}

}

}

if (i % 2 == 0)

{

isaret = 1;

}

else

{

isaret = -1;

}

toplam += isaret * matrix[0, i] * (Determinant(altmatritsa));

}

return toplam;

}

}

}

2. Teskari matritsani hisoblash funksiyasi

using System;

using System.Collections.Generic;

using System.Linq;

using System.Text;

using System.Threading.Tasks;

namespace Inverse

{

class Program

{

static readonly int N = 4;// Matritsa o'lchami

static void getCofactor(int[,] A, int[,] temp, int p, int q, int n)

{

int i = 0, j = 0;

// Matritsaning har bir elementi uchun takrorlash

for (int row = 0; row < n; row++)

{

for (int col = 0; col < n; col++)

{

// Vaqtinchalik matritsaga nusxa ko'chirish

// berilgan satr va ustun uchun

if (row != p && col != q)

{

temp[i, j++] = A[row, col];

// Satr to'ldirish uchun satr indeksi oshiriladi

// ustun o'chirish indeksi

if (j == n - 1)

{

j = 0;

i++;

}

}

}

}

}

// Determinantni hisoblash funksiyasi

static int determinant(int[,] A, int n)

{

int D = 0;

if (n == 1)// agar asosiy matritsa bitta elementdan iborat bo'lsa

return A[0, 0];

int[,] temp = new int[N, N];

int sign = 1; // Matritsani juft va toq holatlari

for (int f = 0; f < n; f++)// Birinchi qatorning har bir elementi uchun takrorlash

{

getCofactor(A, temp, 0, f, n);//funksiyaga murojat

D += sign * A[0, f] * determinant(temp, n - 1);

sign = -sign;

}

return D;

}

static void adjoint(int[,] A, int[,] adj)// Teskari maritsa shartini tekshirish

{

if (N == 1)

{

adj[0, 0] = 1;

return;

}

int sign = 1;

int[,] temp = new int[N, N];

for (int i = 0; i < N; i++)

{

for (int j = 0; j < N; j++)

{

getCofactor(A, temp, i, j, N);// funksiyaga ma'lumot yuborish

sign = ((i + j) % 2 == 0) ? 1 : -1;

adj[j, i] = (sign) * (determinant(temp, N - 1));

}

}

}

static bool inverse(int[,] A, float[,] inverse)// Teskari matritsani determinanti 0 ga teng holatlarini tekshirish. Agar 0 bo'lsa matritsa singular deyiladi

{

int det = determinant(A, N);

if (det == 0)

{

Console.Write("Singular matritsa, Teskari matritsa mavjud bo'lmaydi");

return false;

}

int[,] adj = new int[N, N];

adjoint(A, adj);

// Find Inverse using formula "inverse(A) = adj(A)/det(A)"

for (int i = 0; i < N; i++)

for (int j = 0; j < N; j++)

inverse[i, j] = adj[i, j] / (float)det;

return true;

}

static void display(int[,] A)// Oynaga natijalarni chiqarish

{

for (int i = 0; i < N; i++)

{

for (int j = 0; j < N; j++)

Console.Write(A[i, j] + " ");

Console.WriteLine();

}

}

static void display(float[,] A)

{

for (int i = 0; i < N; i++)

{

for (int j = 0; j < N; j++)

Console.Write("{0:F6} ", A[i, j]);

Console.WriteLine();

}

}

static void Main(string[] args)

{

int[,] A = { {5, -2, 2, 7},

{1, 0, 0, 3},

{-3, 1, 5, 0},

{3, -1, -9, 4}};

int[,] adj = new int[N, N];

float[,] inv = new float[N, N];

Console.Write("Matritsa elementlari :\n");

display(A);

Console.Write("\n adjoint funksiyasi natijasi :\n");

adjoint(A, adj);

display(adj);

Console.Write("\nTeskarisi :\n");

if (inverse(A, inv))

display(inv);

Console.ReadLine();

}

}

}