determinX.cpp

#include<iostream>

#include<math.h>

#include<conio.h>

using namespace std;

double d = 0;

double det(int n, double mat[10][10]) {

    int c, subi, i, j, subj;

    double submat[10][10];  

    if (n == 2) {
        return( (mat[0][0] * mat[1][1]) - (mat[1][0] * mat[0][1]));
    } else {  

        for(c = 0; c < n; c++) {  

            subi = 0;  

            for(i = 1; i < n; i++) {  

                subj = 0;

                for(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 n;
    cout<<"enter the order of matrix" ;
    cin>>n;
    double mat[10][10];
    int i, j;
    cout<<"enter the elements"<<endl;

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

            cin>>mat[i][j];
        }
    }
    cout<<"\ndeterminant"<<det(n,mat);
    getch();
}