## INDEX

### MULTIPLICATION OF TWO MATRICES USING C PROGRAM

1. C code for matrix multiplication

2. C program for matrix multiplication
3. Write a program for matrix multiplication in c
4. How to multiply two matrixes in c
5. Matrix multiplication program in c language
6. Matrix multiplication in c using array

#include<stdio.h>
int main(){
int a[5][5],b[5][5],c[5][5],i,j,k,sum=0,m,n,o,p;
printf("\nEnter the row and column of first matrix");
scanf("%d %d",&m,&n);
printf("\nEnter the row and column of second matrix");
scanf("%d %d",&o,&p);
if(n!=o){
printf("Matrix mutiplication is not possible");
printf("\nColumn of first matrix must be same as row of second matrix");
}
else{
printf("\nEnter the First matrix->");
for(i=0;i<m;i++)
for(j=0;j<n;j++)
scanf("%d",&a[i][j]);
printf("\nEnter the Second matrix->");
for(i=0;i<o;i++)
for(j=0;j<p;j++)
scanf("%d",&b[i][j]);
printf("\nThe First matrix is\n");
for(i=0;i<m;i++){
printf("\n");
for(j=0;j<n;j++){
printf("%d\t",a[i][j]);
}
}
printf("\nThe Second matrix is\n");
for(i=0;i<o;i++){
printf("\n");
for(j=0;j<p;j++){
printf("%d\t",b[i][j]);
}
}
for(i=0;i<m;i++)
for(j=0;j<p;j++)
c[i][j]=0;
for(i=0;i<m;i++){ //row of first matrix
for(j=0;j<p;j++){  //column of second matrix
sum=0;
for(k=0;k<n;k++)
sum=sum+a[i][k]*b[k][j];
c[i][j]=sum;
}
}
}
printf("\nThe multiplication of two matrix is\n");
for(i=0;i<m;i++){
printf("\n");
for(j=0;j<p;j++){
printf("%d\t",c[i][j]);
}
}
return 0;
}

Alogrithm:

Multiplication of two matrixes:

Rule: Multiplication of two matrixes is only possible if first matrix has size m X n and other matrix has size n x r. Where m, n and r are any positive integer.

Multiplication of two matrixes is defined as

Where 1 i  m and 1 ≤ j  n

For example:
Suppose two matrixes A and B of size of 2 x 2 and 2 x 3 respectively: