Guruh talabasi Erkinov Abduazimning Algoritmlash va loyihalash fanidan 2-laboratoriya ishi

416-19 guruh talabasi Erkinov Abduazimning Algoritmlash va loyihalash fanidan 2-laboratoriya ishi
Variant-3

1.Tenglamalar sistemasini hisoblash

Masalaning berilishiga basis ozgaruvchilar kiritish yordamida tengsizlikni tenglikka aylantirib olamiz

6x₁ + 7x₂ + 3x₃ + x₄ = 229
5x₁ + 4x₂ + 7x₃ + x₅ = 221
4x₁ + 5x₂ + 6x₃ + x₆ = 205


L = 25x₁ + 23x₂ + 20x₃ +0x₄ + 0x₅ + 0x₆ max

6 7 3
A = 5 4 7 = -53

4 5 6


-11 2 9
A^-1 = 27 24 2
37 27 -11

x₁ + 0.21x₄ - 0.037x₅ – 0.17x₆ = 17

x₂ – 0.51x₄ – 0.45x₅ - 0.037x₆ = 13
x₃ + 0,69x₄ – 0.51x₅ + 0.21x₆ = 12
x₄ , x₅ , x₆ = 0;

x1 = 17; x2 = 13; x3 = 12;
L = 25x₁ + 23x₂ + 20x₃ +0x₄ + 0x₅ + 0x₆
Maqsad funksiyaga berilgan o’zgaruvchilarni qo’yib chiqamiz
L = 25 * 17 + 23 * 13 + 20 * 12 = 964
Berilgan hisob kitoblar natijasida maqsad funksiyasining maksimal qiymati 964 ekani ma’lum bo’ldi

2. dastur kodi
#include

using namespace std;

int main(){
const int n = 4;
float a[n][n];
float b[n];
float x[n];
cout<<"a matritsani kiriting:"<for (int i=0;icout<<(i+1)<<" -satrni kiriting"<for(int j=0;jcin>>a[i][j];
}
}
cout<<"b massivni kiriting:"<for(int i=0;icin>>b[i];
}
int k1,k2,k,m;
for (k = 1; k < n; k++) {
for (m = k + 1; m < n; m++) {
for (int l = k + 1; l < n; l++) {
a[m][l] -= a[m][l] * a[k][l] / a[k][k];
b[m] -= a[m][k] * b[k] / a[k][k];
}
}
}

x[n] = b[n] / a[n][n];

float s = 0;
for (int i = k + 1; i < n; i++) {
s += a[k][i] * x[i];
x[k] = (b[k] - s) / a[k][k];
}

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

cout<}
}



3.Matritsani teskarisini toppish
#include
using namespace std;
int main(){
int mat[3][3], i, j;
float determinant = 0;
cout<<"Matritsa elementlarini kiriting:\n";
for(i = 0; i < 3; i++)
for(j = 0; j < 3; j++)
cin>>mat[i][j];
printf("\nMatritsa:");
for(i = 0; i < 3; i++){
cout<<"\n";
for(j = 0; j < 3; j++)
cout<}
//determinentni topish
for(i = 0; i < 3; i++)
determinant = determinant + (mat[0][i] * (mat[1][(i+1)%3] * mat[2][(i+2)%3] - mat[1][(i+2)%3] * mat[2][(i+1)%3]));
cout<<"\n\ndeterminant: "<cout<<"\n\nTeskari matritsa: \n";
for(i = 0; i < 3; i++){
for(j = 0; j < 3; j++)
cout<<((mat[(j+1)%3][(i+1)%3] * mat[(j+2)%3][(i+2)%3]) - (mat[(j+1)%3][(i+2)%3] * mat[(j+2)%3][(i+1)%3]))/ determinant<<"\t";
cout<<"\n";
}
return 0;
}