In this article, you will learn and get code about the multiplication of two matrix in C. But before going through the program, if you are not aware about how multiplication of two matrix performs, then I recommend you to have a look at the step by step process of matrix multiplication. There, you will see the step by step process using pictorial representation, that how a multiplication of two matrix gets calculated. Now let's move on and implement it in a C program.
To multiply any two matrices in C programming, first ask from the user to enter any two matrix, then start multiplying the given two matrices, and store the multiplication result one by one inside any variable say sum. Store the value of sum in the third matrix (one by one as its element) say mat3 as shown in the program given here.
The question is, write a program in C that multiply two given matrices. The answer to this question is given below. This C program asks from user to enter any two 3*3 matrix elements, to multiply them to form a new matrix which is the multiplication result of two given 3*3 matrices. Here 3*3 matrix means, a matrix that has 3 rows and 3 columns:
// Multiply two 3*3 Matrices in C
// ----codescracker.com----
#include<stdio.h>
#include<conio.h>
int main()
{
int mat1[3][3], mat2[3][3], mat3[3][3], sum=0, i, j, k;
printf("Enter first 3*3 matrix element: ");
for(i=0; i<3; i++)
{
for(j=0; j<3; j++)
scanf("%d", &mat1[i][j]);
}
printf("Enter second 3*3 matrix element: ");
for(i=0; i<3; i++)
{
for(j=0; j<3; j++)
scanf("%d", &mat2[i][j]);
}
printf("\nMultiplying two matrices...");
for(i=0; i<3; i++)
{
for(j=0; j<3; j++)
{
sum=0;
for(k=0; k<3; k++)
sum = sum + mat1[i][k] * mat2[k][j];
mat3[i][j] = sum;
}
}
printf("\nMultiplication result of the two given Matrix is: \n");
for(i=0; i<3; i++)
{
for(j=0; j<3; j++)
printf("%d\t", mat3[i][j]);
printf("\n");
}
getch();
return 0;
}
As the above program was written under Code::Blocks IDE, therefore after successful build and run, here is the output you will see on your screen. This is first snapshot:
Now supply any 9 elements for first 3*3 matrix, and then again 9 elements for second 3*3 matrix. After supplying all the 9-9 elements
for both the 3*3 matrix, press ENTER to see the multiplication result of the two matrix as shown in the second screenshot
of the sample run given here:
Now let's modify the above program by implenting extra feature. That is, this program allows user to define the size of matrix:
// Matrix Multiplication Program in C
// ----codescracker.com----
#include<stdio.h>
#include<conio.h>
int main()
{
int mat1[10][10], mat2[10][10], matmult[10][10];
int row1, col1, row2, col2, i, j, k, sum;
printf("Enter size of first matrix:\n");
printf("Enter row size: ");
scanf("%d", &row1);
printf("Enter column size: ");
scanf("%d", &col1);
printf("\nEnter the element of first matrix:\n");
for(i=0; i<row1; i++)
{
for(j=0; j<col1; j++)
scanf("%d", &mat1[i][j]);
}
printf("\nEnter size of second matrix:\n");
printf("Enter row size: ");
scanf("%d", &row2);
printf("Enter column size: ");
scanf("%d", &col2);
printf("\nEnter the element of second matrix:\n");
for(i=0; i<row2; i++)
{
for(j=0; j<col2; j++)
scanf("%d", &mat2[i][j]);
}
if(col1!=row2)
{
printf("\nMultiplication not possible!");
printf("\nExiting...\n");
printf("Press any key...");
getch();
return 0;
}
printf("\nMultiplying the two matrix...\n");
for(i=0; i<row1; i++)
{
for(j=0; j<col2; j++)
{
sum = 0;
for(k=0; k<col1; k++)
sum = sum + mat1[i][k] * mat2[k][j];
matmult[i][j] = sum;
}
}
printf("The multiplication result (resultant matrix) is:\n");
for(i=0; i<row1; i++)
{
for(j=0; j<col2; j++)
printf("%d ", matmult[i][j]);
printf("\n");
}
getch();
return 0;
}
Before multiplying the two given matrix entered at run-time, we have applied an if statement to check whether the column size of first matrix is equal to the row size of second matrix or not.
If it is equal, then start multiplying and find out the result. And if it is not, then print some result like multiplication not possible!. Here is the sample run:
The snapshot after providing row and column size along with matrix elements (for first matrix):
The snapshot after providing row and column size along with matrix elements (for second matrix). Because we have provided 3 as row size of second matrix, which is equal to the column size of first matrix:
Now let's take another sample run. Here in this case, let's suppose user has entered the column size of first matrix as 3 and row size of second matrix as 2 which is not equal:
As you can clearly see from the above sample runs, the matrix multiplication is not possible, if the column size of first matrix is not equal to the row size of the second matrix.
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