Program for To perform the addition and multiplication of Two matrices

Program:

#include<stdio.h>

void main()
{
int ch,i,j,m,n,p,q,k,r1,c1,a[10][10],b[10][10],c[10][10]; clrscr(); printf("************************************");
 printf("\n\t\tMENU"); printf("\n**********************************"); printf("\n[1]ADDITION OF TWO MATRICES"); printf("\n[2]MULTIPLICATION OF TWO MATRICES"); printf("\n[0]EXIT");
 printf("\n**********************************");
printf("\n\tEnter your choice:\n");
scanf("%d",&ch);

if(ch<=2 & ch>0)
{
printf("Valid Choice\n");
}

switch(ch)
{
case 1:
 printf("Input rows and columns of A & B Matrix:"); scanf("%d%d",&r1,&c1);
printf("Enter elements of matrix A:\n"); for(i=0;i<r1;i++)
{
for(j=0;j<c1;j++)
scanf("%d",&a[i][j]);
}
printf("Enter elements of matrix B:\n"); for(i=0;i<r1;i++)
{
for(j=0;j<c1;j++)
scanf("%d",&b[i][j]);
}
printf("\n =====Matrix Addition=====\n"); for(i=0;i<r1;i++)
{
For(j=0;j<c1;j++)
printf("%5d",a[i][j]+b[i][j]);
printf("\n");
 }
 break;



45


case 2:

 printf("Input rows and columns of A matrix:");
 scanf("%d%d",&m,&n);
printf("Input rows and columns of B matrix:"); scanf("%d%d",&p,&q);
if(n==p)
{
printf("matrices can be multiplied\n");
 printf("resultant matrix is %d*%d\n",m,q);
printf("Input A matrix\n");
read_matrix(a,m,n);
 printf("Input B matrix\n");

 /*Function call to read the matrix*/
 read_matrix(b,p,q);

/*Function for Multiplication of two matrices*/
printf("\n =====Matrix Multiplication=====\n"); for(i=0;i<m;++i)
for(j=0;j<q;++j)
{
c[i][j]=0;
for(k=0;k<n;++k)
c[i][j]=c[i][j]+a[i][k]*b[k][j];
}

 printf("Resultant of two matrices:\n");
 write_matrix(c,m,q);

}
/*end if*/
 else
{
printf("Matrices cannot be multiplied.");
}
/*end else*/
break;

case 0:
printf("\n Choice Terminated");
exit();
 break;
default:
printf("\n Invalid Choice");
}
getch();  }

46


/*Function read matrix*/
int read_matrix(int a[10][10],int m,int n)
{
int i,j; for(i=0;i<m;i++) for(j=0;j<n;j++) scanf("%d",&a[i][j]); return 0;
}

/*Function to write the matrix*/
int write_matrix(int a[10][10],int m,int n)
{
int i,j; for(i=0;i<m;i++)

{
for(j=0;j<n;j++)
printf("%5d",a[i][j]);
printf("\n");
}
return 0;
}


Output:

1.
************************************
MENU
**********************************
[1]ADDITION OF TWO MATRICES [2]MULTIPLICATION OF TWO MATRICES [0]EXIT
**********************************
Enter your choice:
1
Valid Choice
Input rows and columns of A & B Matrix:2 2
Enter elements of matrix A: 2 2 2 2

Enter elements of matrix B: 2 2 2 2

=====Matrix Addition=====
4 4
4 4




47

************************************
MENU
**********************************
[1]ADDITION OF TWO MATRICES [2]MULTIPLICATION OF TWO MATRICES [0]EXIT
**********************************
Enter your choice:
2
Valid Choice
Input rows and columns of A matrix:2 3
Input rows and columns of B matrix:2 2
Matrices cannot be multiplied.

************************************
MENU
**********************************
[1]ADDITION OF TWO MATRICES [2]MULTIPLICATION OF TWO MATRICES [0]EXIT
**********************************
Enter your choice:
2
Valid Choice
Input rows and columns of A matrix:2 2
Input rows and columns of B matrix:2 2
matrices can be multiplied resultant matrix is 2*2
Input A matrix

2
2
2
Input B matrix
2
2
2
   2

=====Matrix Multiplication===== Resultant of two matrices:
8 8
8 8
Conclusion : The program is error free


VIVA QUESTIONS:

1)  What is condition for performing an matrix addition ?
Ans: program takes the two matrixes of same size and performs the addition

2) What is condition for performing an matrix multiplication ?
Ans: The two matrixes of different sizes are checked for possibility of multiplication and perform multiplication if possible

Algorithm

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