Thursday 18 February 2016

Determinant of Matrix of (N x N) ORDER


This is gonna be the shortest and most efficient way to find determinant of N x N order my OWN new LOGIC.







Coding :
#include<stdio.h>
#include<iostream>
using namespace std;
int main()
{
    float arr[10][10];
    float div[10],sub[10];
    int n;
    cout << "Entr Order of matrix :- ";
    cin >> n;
    cout << endl;
    for(int i=0;i<n;i++)
    {
        if(i==0)
            cout << (i+1) << "st Row of MATRIX: \n";
        else if(i==1)
            cout << (i+1) << "nd Row of MATRIX: \n";
        else if(i==2)
            cout << (i+1) << "rd Row of MATRIX: \n";
        else
            cout << (i+1) << "th Row of MATRIX: \n";
        for(int j=0;j<n;j++)
            cin >> arr[i][j];
        cout << endl;
    }
    cout << endl << endl << "--------YOUR ENTERED MATRIX--------- " << endl;
    for(int i=0;i<n;i++)
    {
        cout << endl;
        for(int j=0;j<n;j++)
        {
            cout << arr[i][j] << "  ";
        }
    }
    for(int k=0;k<(n);k++)
    {
        for(int i=k;i<n;i++)
        {
            for(int j=k;j<n;j++)
            {
                div[j] = arr[k+0][j] / arr[k+0][k+0];
                sub[j] = div[j]*arr[i+1][k+0];
            }
            for(int j=0;j<n;j++)
            {
                arr[i+1][j]-=sub[j];
            }
        }
    }

    float ans=1;
    for(int i=0;i<n;i++)
    {
        ans*=arr[i][i];
    }
    cout << endl << endl << "-------Determinant of Matrix = " << ans;
}

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