C program for matrix multiplication

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#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;

}

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Algorithm:

Multiplication of two matrixes:

Rule: Multiplication of two matrices is a valid operation only when the first matrix has dimensions m x n and the second matrix has dimensions n x r, where m, n, and r are positive integers.

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:

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