C Program to Multiply Two 3 X 3 Matrices

Program :

#include<stdio.h>
#include<conio.h>
void main()
{
int a[10][10],b[10][10],c[10][10],i,j,k;
int sum=0;
clrscr();
printf("\nEnter First Matrix : \n");
for(i=0;i<3;i++)
   {
   for(j=0;j<3;j++)
   scanf("%d",&a[i][j]);
   }
printf("\nEnter Second Matrix:\n");
for(i=0;i<3;i++)
   {
   for(j=0;j<3;j++)
   scanf("%d",&b[i][j]);
   }
printf("The First Matrix Is:\n");
for(i=0;i<3;i++)//print the first matrix
   {
   for(j=0;j<3;j++)
   printf(" %d ",a[i][j]);
   printf("\n");
   }
printf("The Second Matrix Is:\n");
for(i=0;i<3;i++) // print the second matrix
   {
   for(j=0;j<3;j++)
   printf(" %d ",b[i][j]);
   printf("\n");
   }
for(i=0;i<=2;i++)
   for(j=0;j<=2;j++)
   {
   sum = 0;
    for(k=0;k<=2;k++)
     sum = sum + a[i][k] * b[k][j];
   c[i][j]=sum;
   }
printf("\nMultiplication Of Two Matrices :\n\n");
for(i=0;i<3;i++)
{
   for(j=0;j<3;j++)
   printf(" %d ",c[i][j]);
printf("\n");
}
getch();
}

Steps :

Dimension of Matrix 1 : 1 X 3
Dimension of Matrix 2 : 3 X 2

Multiplication is Possible iff -

No. of Columns of Matrix 1 = No of Columns of Matrix 2

Resultant Matrix Will of Dimension-

c[No. of Rows of Mat1][No. of Columns of Mat2]

Steps 1 :

Evaluate : 1 X 2  = 2
Evaluate : 4 X 5  = 20
Evaluate : 6 X 7  = 22
-------------------------
Add      :          64  ///c[0][0]

Step 2 :

Evaluate : 1 X 3  = 3
Evaluate : 4 X 8  = 40
Evaluate : 6 X 9  = 54
-------------------------
Add      :          89   ///c[0][1]

Programmable Implementation :

for(i=0;i<=2;i++)
   for(j=0;j<=2;j++)
   {
   sum = 0;
    for(k=0;k<=2;k++)
     sum = sum + a[i][k] * b[k][j];
   c[i][j]=sum;
   }

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