By | 18.11.2016

# Multiplication of two matrix using array

Write a C Program for multiplication of two matrix using array. Here’s simple Program to multiply two matrix using array in C Programming Language.

## What is Matrix ?

Matrix representation is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

Two-dimensional Arrays : :

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

• type arrayName [ x ][ y ];

Where type can be any valid C data type and arrayName will be a valid C identifier.

Below is the source code for C Program for multiplication of two matrix using array which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/*  C Program for multiplication of two matrix using array  */

#include <stdio.h>

int main()
{
int A, B, C;
int row, col, i, sum;

/*
* Reads elements in first matrix from user
*/
printf("Enter elements in matrix A of size 3x3: \n");
for(row=0; row<3; row++)
{
for(col=0; col<3; col++)
{
scanf("%d", &A[row][col]);
}
}

/*
* Reads elements in second matrix from user
*/
printf("\nEnter elements in matrix B of size 3x3: \n");
for(row=0; row<3; row++)
{
for(col=0; col<3; col++)
{
scanf("%d", &B[row][col]);
}
}

/*
* Multiplies both matrices A*B
*/
for(row=0; row<3; row++)
{
for(col=0; col<3; col++)
{
sum = 0;
/*
* Multiplies row of first matrix to column of second matrix
* And stores the sum of product of elements in sum.
*/
for(i=0; i<3; i++)
{
sum += A[row][i] * B[i][col];
}

C[row][col] = sum;
}
}

/*
* Prints the product of matrices
*/
printf("\nProduct of Matrix A * B = \n");
for(row=0; row<3; row++)
{
for(col=0; col<3; col++)
{
printf("%d ", C[row][col]);
}
printf("\n");
}

return 0;
}```

### Output : :

```/*  C Program for multiplication of two matrix using array  */

Enter elements in matrix A of size 3x3:
1 2 3
4 5 6
7 8 9

Enter elements in matrix B of size 3x3:
9 8 7
6 5 4
3 2 1

Product of A * B =
30 24 18
84 69 54
138 114 90```

Above is the source code for C Program for multiplication of two matrix using array which is successfully compiled and run on Windows System.The Output of the program is shown above .

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