Here is a C++ program to check whether matrix is upper/lower triangular or not. First program simply checks whether matrix is upper triangular or not and second program checks whether matrix is lower triangular or not.
C++ program to check whether matrix is upper triangular or not
#include<iostream>
using namespace std;
int main()
{
int a[10][10],order;
cout<<"Enter order of matrix (max 10*10): ";
cin>>order;
cout<<"Enter matrix a1 : "<<endl;
for(int i=0;i<order;i++)
for(int j=0;j<order;j++)
cin>>a[i][j];
for(int i=1;i<order-1;i++)
for(int j=0;j<i;j++)
if(a[i][j]!=0)
{
cout<<"Matrix is not upper triangular matrix";
return 0;
}
cout<<"Matrix is upper triangular matrix "<<endl;
return 0;
}
using namespace std;
int main()
{
int a[10][10],order;
cout<<"Enter order of matrix (max 10*10): ";
cin>>order;
cout<<"Enter matrix a1 : "<<endl;
for(int i=0;i<order;i++)
for(int j=0;j<order;j++)
cin>>a[i][j];
for(int i=1;i<order-1;i++)
for(int j=0;j<i;j++)
if(a[i][j]!=0)
{
cout<<"Matrix is not upper triangular matrix";
return 0;
}
cout<<"Matrix is upper triangular matrix "<<endl;
return 0;
}
OUTPUT
C++ program to check whether matrix is lower triangular or not
#include<iostream>
using namespace std;
int main()
{
int a[10][10],order;
cout<<"Enter order of matrix (max 10*10): ";
cin>>order;
cout<<"Enter matrix a1 : "<<endl;
for(int i=0;i<order;i++)
for(int j=0;j<order;j++)
cin>>a[i][j];
for(int i=0;i<order-1;i++)
for(int j=i+1;j<order;j++)
if(a[i][j]!=0)
{
cout<<"Matrix is not lower triangular matrix";
return 0;
}
cout<<"Matrix is lower triangular matrix "<<endl;
return 0;
}
using namespace std;
int main()
{
int a[10][10],order;
cout<<"Enter order of matrix (max 10*10): ";
cin>>order;
cout<<"Enter matrix a1 : "<<endl;
for(int i=0;i<order;i++)
for(int j=0;j<order;j++)
cin>>a[i][j];
for(int i=0;i<order-1;i++)
for(int j=i+1;j<order;j++)
if(a[i][j]!=0)
{
cout<<"Matrix is not lower triangular matrix";
return 0;
}
cout<<"Matrix is lower triangular matrix "<<endl;
return 0;
}
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