C Program to implement Matrix Multiplication using Recursion

By | 29.11.2016

Matrix Multiplication using Recursion


 

Write a C Program to implement Matrix Multiplication using Recursion. Here’s simple Program to implement Matrix Multiplication using Recursion in C Programming Language.


Recursion : :


  • Recursion is the process of repeating items in a self-similar way. In programming languages, if a program allows you to call a function inside the same function, then it is called a recursive call of the function.
  • The C programming language supports recursion, i.e., a function to call itself. But while using recursion, programmers need to be careful to define an exit condition from the function, otherwise it will go into an infinite loop.
  • Recursive functions are very useful to solve many mathematical problems, such as calculating the factorial of a number, generating Fibonacci series, etc.

Problem : :


The following C program, using recursion, performs Matrix multiplication of two matrices and displays the result. We use 2 D array to represent a matrix and resulting matrix is stored in a different matrix.

Here is the source code of the C Program to implement Matrix Multiplication using Recursion. The C Program is successfully compiled and run on a Linux system. The program output is also shown below.


SOURCE CODE : :


/*  C Program to implement Matrix Multiplication using Recursion  */

#include <stdio.h>

void multiply(int, int, int [][10], int, int, int [][10], int [][10]);
void display(int, int, int[][10]);

int main()
{
    int a[10][10], b[10][10], c[10][10] = {0};
    int m1, n1, m2, n2, i, j, k;

    printf("Enter rows for Matrix A :: ");
    scanf("%d", &m1);
    printf("\nEnter cols for Matrix A :: ");
    scanf("%d", &n1);
    printf("\nEnter rows for Matrix B :: ");
    scanf("%d", &m2);
    printf("\nEnter cols for Matrix B :: ");
    scanf("%d", &n2);

    if (n1 != m2)
    {
        printf("\nMatrix multiplication not possible.\n");
    }
    else
    {
        printf("\nEnter elements in Matrix A :: \n");
        for (i = 0; i < m1; i++)
        for (j = 0; j < n1; j++)
        {
            printf("\nEnter A[%d][%d] element :: ",i,j);
            scanf("%d", &a[i][j]);
        }

        printf("\nEnter elements in Matrix B :: \n");
        for (i = 0; i < m1; i++)
        for (j = 0; j < n1; j++)
        {
            printf("\nEnter B[%d][%d] element :: ",i,j);
            scanf("%d", &a[i][j]);
        }

        multiply(m1, n1, a, m2, n2, b, c);
    }
    printf("\nAfter matrix multiplication of A and B, The result is A * B = C :: \n");

    printf("\nElements in Matrix C are :: \n");

    display(m1, n2, c);
    
    return 0;
}

void multiply (int m1, int n1, int a[10][10], int m2, int n2, int b[10][10], int c[10][10])
{
    static int i = 0, j = 0, k = 0;

    if (i >= m1)
    {
        return;
    }
    else if (i < m1)
    {
        if (j < n2)
        {
            if (k < n1)
            {
                c[i][j] += a[i][k] * b[k][j];
                k++;
                multiply(m1, n1, a, m2, n2, b, c);
            }
            k = 0;
            j++;
            multiply(m1, n1, a, m2, n2, b, c);
        }
        j = 0;
        i++;
        multiply(m1, n1, a, m2, n2, b, c);
    }
}



void display(int m1, int n2, int c[10][10])
{
    int i, j;

    for (i = 0; i < m1; i++)
    {
        for (j = 0; j < n2; j++)
        {
            printf("    %d   ", c[i][j]);
        }
        printf("\n");
    }
}

Output : :


/*  C Program to implement Matrix Multiplication using Recursion  */

Enter rows for Matrix A :: 2

Enter cols for Matrix A :: 2

Enter rows for Matrix B :: 2

Enter cols for Matrix B :: 2

Enter elements in Matrix A ::

Enter A[0][0] element :: 12

Enter A[0][1] element :: 56

Enter A[1][0] element :: 45

Enter A[1][1] element :: 78

Enter elements in Matrix B ::

Enter B[0][0] element :: 2

Enter B[0][1] element :: 6

Enter B[1][0] element :: 5

Enter B[1][1] element :: 8

After matrix multiplication of A and B, The result is A * B = C ::

Elements in Matrix C are ::
    304       520
    480       894

Process returned 0

Above is the source code for C Program to implement Matrix Multiplication using Recursion which is successfully compiled and run on Windows System.The Output of the program is shown above .

If you found any error or any queries related to the above program or any questions or reviews , you wanna to ask from us ,you may Contact Us through our contact Page or you can also comment below in the comment section.We will try our best to reach up to you in short interval.


Thanks for reading the post….

5 2 votes
Article Rating
Category: C Programming Recursion Programs Tags:

About Tunde A

My name is Tunde Ajetomobi, a Tech Enthusiast and Growth Hacker. I enjoy creating helpful content that solves problem across different topics. Codezclub is my way of helping young aspiring programmers and students to hone their skills and find solutions on fundamental programming languages.

Subscribe
Notify of
guest

0 Comments
Inline Feedbacks
View all comments