69 lines
1.8 KiB
C++
69 lines
1.8 KiB
C++
#include<conio.h>
|
|
#include<iostream>
|
|
#include<math.h>
|
|
|
|
using namespace std;
|
|
double d = 0;
|
|
double det(int n, double mat[10][10]);
|
|
double det(int n, double mat[10][10])
|
|
{
|
|
double submat[10][10];
|
|
if (n == 2)
|
|
return ((mat[0][0] * mat[1][1]) - (mat[1][0] * mat[0][1]));
|
|
else
|
|
{
|
|
for (int c = 0; c < n; c++)
|
|
{
|
|
int subi = 0; //submatrix's i value
|
|
for (int i = 1; i < n; i++)
|
|
{
|
|
int subj = 0;
|
|
for (int j = 0; j < n; j++)
|
|
{
|
|
if (j == c)
|
|
continue;
|
|
submat[subi][subj] = mat[i][j];
|
|
subj++;
|
|
}
|
|
subi++;
|
|
}
|
|
d = d + (pow(-1, c) * mat[0][c] * det(n - 1, submat));
|
|
}
|
|
}
|
|
return d;
|
|
}
|
|
int main(int argc, char **argv)
|
|
{
|
|
cout << "Enter the dimension of the matrix:\n";
|
|
int n;
|
|
cin >> n;
|
|
double mat[10][10];
|
|
cout << "Enter the elements of the matrix:\n";
|
|
for (int i = 0; i < n; i++)
|
|
{
|
|
for (int j = 0; j < n; j++)
|
|
{
|
|
cin >> mat[j][i];
|
|
}
|
|
}
|
|
cout << "The determinant of the given matrix is: " << det(n, mat);
|
|
return 0;
|
|
}
|
|
|
|
/*
|
|
Enter the dimension of the matrix:
|
|
3
|
|
Enter the elements of the matrix:
|
|
3 5 2
|
|
8 4 8
|
|
2 4 7
|
|
The determinant of the given matrix is: -164
|
|
|
|
Enter the dimension of the matrix:
|
|
4
|
|
Enter the elements of the matrix:
|
|
9 5 2 5
|
|
9 5 3 7
|
|
6 5 4 8
|
|
1 5 3 7
|
|
The determinant of the given matrix is: 0
|