How to add 2D arrays in C#?

What is a 2D Array (Matrix)?

A matrix is a rectangular two-dimensional array of numbers arranged in rows and columns. A matrix with m rows and n columns can be called an m × n matrix. Individual entries in the matrix are called elements and can be represented by a[i,j], which suggests that the element a is present in the ith row and jth column.

Addition of two matrices

Two matrices, X and Y, can be added if and only if they have the exact dimensions that are the same number of rows and columns. Adding a 2 × 3 matrix with a 3 × 2 matrix is impossible. The addition of two matrices can be performed by adding their corresponding elements as

(X+ Y)[i,j]= X[i,j] + Y[i,j]

Algorithm to add two matrices

1. Declare and initialize two two-dimensional arrays, X and Y.
2. Calculate the number of rows and columns present in the array X (as the dimensions of both the arrays are the same) and store it in variables rows and cols, respectively.
3. Declare another array sum with similar dimensions.
4. Loop through the arrays X and Y and add the corresponding elements. e.g x11 + y11 = sum11
5. Display the elements of the array sum. 

C# Solution

Here is the complete program written in C# that adds two matrices. The program declares three arrays, array, arraySecond, and arraySum. The arraySum is the result of the addition. 

using System;
namespace ConsoleMultipleClass  
{  
    class Program  
    {  
        static void Main(string[] args)  
        {  
            Program obj = new Program();  
            obj.AddTwoDArray();  
            Console.ReadLine();  
        }  
  
        void AddTwoDArray()  
        {  
            Console.Write("Enter Number to Define Rows & Column:- ");  
            int arrayLength = Convert.ToInt32(Console.ReadLine());  
  
            int[,] array = new int[arrayLength, arrayLength];  
            int[,] arraySecond = new int[arrayLength, arrayLength];  
            int[,] arraySum = new int[arrayLength, arrayLength];  
  
            for (int i = 0; i < arrayLength; i++)  
            {  
                for (int j = 0; j < arrayLength; j++)  
                {  
                    Console.Write("Array Index [{0}][{1}]:- ",i,j);  
                    array[i, j] = Convert.ToInt32(Console.ReadLine());  
                }  
            }  
  
            Console.WriteLine("---------------------------------------------------------------------");  
            Console.WriteLine("This is Your First Array:-");  
  
            for (int i = 0; i < arrayLength; i++)  
            {  
                for (int j = 0; j < arrayLength; j++)  
                {  
                    if (j == 0)  
                    {  
                        Console.Write(array[i,j]);  
                    }  
                    else  
                    {  
                        Console.Write(" " + array[i,j]);  
                    }  
                      
                }  
                Console.WriteLine();  
            }  
  
            Console.WriteLine("---------------------------------------------------------------------");  
            Console.WriteLine("Now Enter Your Second Array");  
  
            for (int i = 0; i < arrayLength; i++)  
            {  
                for (int j = 0; j < arrayLength; j++)  
                {  
                    Console.Write("Array Index [{0}][{1}]:- ", i, j);  
                    arraySecond[i, j] = Convert.ToInt32(Console.ReadLine());  
                }  
            }  
  
            Console.WriteLine("---------------------------------------------------------------------");  
            Console.WriteLine("This is Your Second Array:-");  
  
            for (int i = 0; i < arrayLength; i++)  
            {  
                for (int j = 0; j < arrayLength; j++)  
                {  
                    if (j == 0)  
                    {  
                        Console.Write(arraySecond[i, j]);  
                    }  
                    else  
                    {  
                        Console.Write(" " + arraySecond[i, j]);  
                    }  
  
                }  
                Console.WriteLine();  
            }  
  
            Console.WriteLine("---------------------------------------------------------------------");  
            Console.WriteLine("Do you want to add this arrays:- (Y/N)");  
  
            string userInput = Convert.ToString(Console.ReadLine());  
  
            if (userInput.ToUpper() == "Y")  
            {  
                for (int i = 0; i < arrayLength; i++)  
                {  
                    for (int j = 0; j < arrayLength; j++)  
                    {  
                        arraySum[i, j] = array[i, j] + arraySecond[i, j];  
                    }  
                }  
                Console.WriteLine("---------------------------------------------------------------------");  
                Console.WriteLine("Array is Added Successfully Here is your Result");  
                Console.WriteLine("---------------------------------------------------------------------");  
                for (int i = 0; i < arrayLength; i++)  
                {  
                    for (int j = 0; j < arrayLength; j++)  
                    {  
                        if (j == 0)  
                        {  
                            Console.Write(arraySum[i,j]);  
                        }  
                        else  
                        {  
                            Console.Write(" " + arraySum[i, j]);  
                        }  
                          
                    }  
                    Console.WriteLine();  
                }  
            }  
            else  
            {  
                Console.WriteLine("Program Terminate Press Enter To Exit............");  
            }  
        }  
    }  
}

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