# C# Program to Multiply Two Matrices

This is a C# Program to perform matrix multiplication.

Problem Description

This C# Program Performs Matrix Multiplication.

Problem Solution

Here the matrix multiplication is performed if the number of columns of the first matrix is equal to the number of rows of the second matrix. For loop is used to display the values in a matrix format.

Program/Source Code

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

```/*
* C# Program to Perform Matrix Multiplication
*/
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace matrix_multiplication
{
class Program
{
static void Main(string[] args)
{
int i, j,m,n;
Console.WriteLine("Enter the Number of Rows and Columns : ");
int[,] a = new int[m, n];
Console.WriteLine("Enter the First Matrix");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
}
}
Console.WriteLine("First matrix is:");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
Console.Write(a[i, j] + "\t");
}
Console.WriteLine();
}
int[,] b = new int[m, n];
Console.WriteLine("Enter the Second Matrix");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
}
}
Console.WriteLine("Second Matrix is :");
for (i = 0; i < 2; i++)
{
for (j = 0; j < 2; j++)
{
Console.Write(b[i, j] + "\t");
}
Console.WriteLine();
}
Console.WriteLine("Matrix Multiplication is :");
int[,] c = new int[m, n];
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
c[i, j] = 0;
for (int k = 0; k < 2; k++)
{
c[i, j] += a[i, k] * b[k, j];
}
}
}
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
Console.Write(c[i, j] + "\t");
}
Console.WriteLine();
}

}
}
}```
Program Explanation

In this C# program we are reading the number of rows and columns for two matrices using the variable ‘m’ and ‘n’ respectively. Using for loop we are entering the coefficient values for first matrix and second matrix.

The matrix multiplication is performed if the number of columns of the first matrix is equal to the number of rows of the second matrix. For loop is used to print the values in a matrix format.

Runtime Test Cases
```
Enter the First Matrix
8
7
6
10
First Matrix is :
8       7
6       10
Enter the Second Matrix
4
3
2
1
Second Matrix is :
4       3
2       1
Matrix multiplication is :
46      31
44      28```

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