Program for Matrix Multiplication
In this example, We will learn a program for matrix multiplication. Before that, You must have knowledge of the following topics.
- For Loop
- Array
Rules for Matrix Multiplication
Here are the few important notes you must know for matrix multiplication
- We can multiply matrix if only number of columns of first matrix = number of rows of second matrix
1 2 3 6 2 8 0
3 4 2 0 * 4 6 2
1 2 0
4 COLUMNS 0 1 4
4 ROWS
4 COLUMNS = 4 ROWS
Step for Matrix Multiplication
To perform the matrix multiplication
- Step 1: Make sure number of columns of 1st column is equal to rows of second columns.
- Step 2: Multiply elements of each rows of first matrix to the each columns of second marix
- Step 3: Add the products
CODE: Program for Matrix Multiplication
Now, We will see the code to sort array elements using for loop.
#include<stdio.h>
int main(){
int n, m, c, d, p, q, k, first[10][10], second[10][10], pro[10][10],sum = 0;
printf("\nEnter the number of rows and columns of the 1st matrix: \n\n");
scanf("%d%d", &m, &n);
printf("\nEnter the %d elements of the 1st matrix: \n\n", m*n);
for(c = 0; c < m; c++)
for(d = 0; d < n; d++)
scanf("%d", &first[c][d]);
printf("\nEnter the number of rows and columns of the 1st matrix: \n\n");
scanf("%d%d", &p, &q);
if(n != p){
printf("Matrices with the given order cannot be multiplied with each other.\n\n");
} else {
printf("\nEnter the %d elements of the 2nd matrix: \n\n",m*n);
for(c = 0; c < p; c++)
for(d = 0; d < q; d++)
scanf("%d", &second[c][d]);
// printing the 1st matrix
printf("\n\nThe 1st matrix is: \n\n");
for(c = 0; c < m; c++)
{
for(d = 0; d < n; d++)
{
printf("%d\t", first[c][d]);
}
printf("\n");
}
// printing the 2nd matrix
printf("\n\nThe 2nd matrix is: \n\n");
for(c = 0; c < p; c++)
{
for(d = 0; d < q; d++)
{
printf("%d\t", second[c][d]);
}
printf("\n");
}
for(c = 0; c < m; c++)
{
for(d = 0; d < q; d++)
{
for(k = 0; k < p; k++)
{
sum = sum + first[c][k]*second[k][d];
}
pro[c][d] = sum;
sum = 0;
}
}
// printing the elements of the product matrix
printf("\n\nThe multiplication of the two entered matrices is: \n\n");
for(c = 0; c < m; c++)
{
for(d = 0; d < q; d++)
{
printf("%d\t", pro[c][d]);
}
printf("\n");
}
}
return 0;
}The output of above program is
Enter the number of rows and columns of the 1st matrix:
2
2
Enter the 4 elements of the 1st matrix:
1
2
3
4
Enter the number of rows and columns of the 2nd matrix:
2
2
Enter the 4 elements of the 2nd matrix:
7
5
3
2
The 1st matrix is:
1 2
3 4
The 2nd matrix is:
7 5
3 2
The multiplication of the two entered matrices is:
13 9
33 23
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