Write a C++ Program to Print Lowerhalf and Upperhalf of Triangle Matrix

Definition of Matrix

• A matrix is a collection of numbers arranged into a fixed number of rows and columns. Usually the numbers are real numbers. In general, matrices can contain complex numbers but we won’t see those here.

• Here is an example of a matrix with three rows and three columns:

• The top row is row 1. The leftmost column is column 1. This matrix is a 3×3 matrix because it has three rows and three columns.

• In describing matrices, the format is:

rows X columns

• Each number that makes up a matrix is called an element of the matrix. The elements in a matrix have specific locations.

• The upper left corner of the matrix is row 1 column 1. In the above matrix the element at row 1 col 1 is the value 1. The element at row 2 column 3 is the value 4.6.

Below is the source code for C++ Program to Print Lowerhalf and Upperhalf of Triangle Matrix which is successfully compiled and run on Windows System to produce desired output as shown below :

SOURCE CODE : :

// C++ Program to Print Lowerhalf and Upperhalf of Triangle Matrix


#include<iostream>

using namespace std;

int main()
{
    int a[10][10],i,j,m;
    cout<<"Enter size of the Matrix(min:3,max:5):";
    cin>>m;
    cout<<"\nEnter the Matrix row wise:\n";

    for(i=0;i<m;i++)
        for(j=0;j<m;++j)
            cin>>a[i][j];

    cout<<"\n\n";

    cout<<"Upperhalf  of  Triangle Matrix :: \n";

    for(i=0;i<m;++i)
    {
        for(j=0;j<m;++j)
        {
            if(i<j)
                cout<<a[i][j]<<" ";
            else
                cout<<"  ";
        }

        cout<<"\n";
    }

    cout<<"\n";

    cout<<"Lowerhalf  of  Triangle Matrix :: \n";

    for(i=0;i<m;++i)
    {
        for(j=0;j<m;++j)
        {
            if(j<i)
                cout<<a[i][j]<<" ";
            else
                cout<<" ";
        }
        cout<<"\n";
    }

    return 0;
}

OUTPUT : :

*******************OUTPUT*********************


*******************FIRST RUN******************

Enter size of the Matrix(min:3,max:5):3

Enter the Matrix row wise:
1
2
3
4
5
6
7
8
9


Upperhalf  of  Triangle Matrix ::
  2 3
    6


Lowerhalf  of  Triangle Matrix ::

4
7 8



*******************SECOND RUN******************

Enter size of the Matrix(min:3,max:5):4

Enter the Matrix row wise:
3
1
2
4
6
5
9
7
2
6
7
9
1
3
2
0


Upperhalf  of  Triangle Matrix ::
  1 2 4
    9 7
      9


Lowerhalf  of  Triangle Matrix ::

6
2 6
1 3 2