This is used to print the diagonals of a square matrix, to find the sum of the diagonal elements.....
Here in one diagonal the index values are same and in the other the sum of the indeces is (n-1)....
Program:
#include<iostream>
#include<iomanip>
#include<windows.h>
using namespace std;
int main()
{
system("cls");
int n;
cout<<setw(54)<<"*****------------------------------*****\n";
cout<<setw(54)<<"*****PRINTING DIAGONALS OF A MATRIX*****\n";
cout<<setw(54)<<"*****------------------------------*****\n";
cout<<"\n\n";
int a[3][3],i,j,sum=0;
cout<<"\tEnter size of square matrix: ";
cin>>n;
cout<<"Enter matrix elements : ";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
cout<<"Enter ["<<i<<"]["<<j<<"] : ";
cin>>a[i][j];
}
}
cout<<"\n\nThe matrix is : \n\n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
cout<<a[i][j]<<" ";
}
cout<<endl;
}
cout<<"\n\nThe left diagonal is : \n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i==j)
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
cout<<"\n\nThe right diaconal is : \n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i+j==(n-1))
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i==j)
sum+=a[i][j];
}
}
cout<<"\n\nThe sum of left diagonal is : "<<sum;
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i+j==2)
sum+=a[i][j];
}
}
cout<<"\n\nThe sum of right diagonal is : "<<sum;
cout<<"\n\nDiagonals of the matrix is : \n\n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if((i==j)||(i+j==(n-1)))
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
return 0;
}
Output:
Here in one diagonal the index values are same and in the other the sum of the indeces is (n-1)....
Program:
#include<iostream>
#include<iomanip>
#include<windows.h>
using namespace std;
int main()
{
system("cls");
int n;
cout<<setw(54)<<"*****------------------------------*****\n";
cout<<setw(54)<<"*****PRINTING DIAGONALS OF A MATRIX*****\n";
cout<<setw(54)<<"*****------------------------------*****\n";
cout<<"\n\n";
int a[3][3],i,j,sum=0;
cout<<"\tEnter size of square matrix: ";
cin>>n;
cout<<"Enter matrix elements : ";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
cout<<"Enter ["<<i<<"]["<<j<<"] : ";
cin>>a[i][j];
}
}
cout<<"\n\nThe matrix is : \n\n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
cout<<a[i][j]<<" ";
}
cout<<endl;
}
cout<<"\n\nThe left diagonal is : \n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i==j)
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
cout<<"\n\nThe right diaconal is : \n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i+j==(n-1))
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i==j)
sum+=a[i][j];
}
}
cout<<"\n\nThe sum of left diagonal is : "<<sum;
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if(i+j==2)
sum+=a[i][j];
}
}
cout<<"\n\nThe sum of right diagonal is : "<<sum;
cout<<"\n\nDiagonals of the matrix is : \n\n";
for(i=0;i<n;++i)
{
for(j=0;j<n;++j)
{
if((i==j)||(i+j==(n-1)))
cout<<a[i][j];
else
cout<<" ";
}
cout<<endl;
}
return 0;
}
Output:
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