Upper Triangular Matrix in C#

This is a C# Program to display upper triangular matrix.

Problem Description

This C# Program Displays Upper Triangular Matrix.

Problem Solution

A square matrix is upper triangular matrix if all its entries below the main diagonal are zero.

Program/Source Code

Here is source code of the C# Program to Display Upper Triangular Matrix. The C# program is successfully compiled and executed with Microsoft Visual Studio. The program output is also shown below.

/*
 * C# Program to Display Upper Triangular Matrix 
 */
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ConsoleApplication8
{
    class Program
    {
        int x;
        public static void Main(string[] args)
        {
            int m, n, i, j;
 
            Console.Write("Enter Number Of Rows And Columns Of Matrices A and B : ");
            m = Convert.ToInt16(Console.ReadLine());
            n = Convert.ToInt16(Console.ReadLine());
            int[,] A = new int[10, 10];
            Console.Write("\nEnter The First Matrix : ");
            for (i = 0; i < m; i++)
            {
                for (j = 0; j < n; j++)
                {
                    A[i, j] = Convert.ToInt16(Console.ReadLine());
                }
            }          
            Console.Clear();
            Console.WriteLine("\nMatrix A : ");
            for (i = 0; i < m; i++)
            {
                for (j = 0; j < n; j++)
                {
                    Console.Write(A[i, j] + "\t");
 
                }
                Console.WriteLine();
            }
 
            Console.WriteLine("\n Setting Zero to illustrate Upper "+ 
                              "Triangular Matrix\n");
            for (i = 0; i < m; i++)
            {
                Console.Write("\n");
                for (j = 0; j < 3; j++)
                {
                    if (i <= j)
                        Console.Write(A[i, j] + "\t");
                    else
                        Console.Write("0\t");
                }
            }
            Console.ReadLine();
        }
    }
}

Program Explanation

In this C# program, we are reading the order of the matrix row and column using ‘m’ and ‘n’ variables respectively. Using for loop we are entering the coefficient values of the matrix to the variable A[i,j]. To display upper triangular matrix two for loops are used.

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In first for loop the value of ‘i’ variable is initialized to zero and execute the loop till the value of ‘i’ variable becomes less than the value of ‘row’ variable. In another for loop the value of ‘j’ variable is initialized to zero and execute till the value of ‘j’ variable becomes less than the value of ‘column’ variable. Print the upper triangular matrix.

Runtime Test Cases

 
Enter Number Of Rows And Columns Of Matrices A and B : 3  3
Enter the First Matrix : 
1 2 3
2 3 4
3 4 5
Matrix A :
1 2 3
2 3 4
3 4 5
Setting Zero to illustrate Upper Triangular Matrix :
1 2 3
0 3 4
0 0 5

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