Matrices In this exercise you will write several functions t

Matrices In this exercise you will write several functions that operate on matrices or two-dimensional arrays. For this exercise, we will restrict our attention to square. matrices-collections of numbers with the same number of columns and rows. You will place all the function prototypes in a header file named matrix.h with their definitions in a source file named matrix.c. You should test your functions by writing a driver program, but you need not hand it in. Write a function that takes two matrices and determines if the sum of all of the elements in matrix A is equal to the sum of all the elements in matrix B. Return 0 if the summation is equal and 1 if they are not equal. Write a function that takes two matrices and determines if they are equal (all of their elements are the same). If the matrices are equal, return 0. Return 1 if they are not equal. Write a function to compute the sum of the elements along the diagonal of the matrix. Return the sum of the elements along the diagonal. Write a function to compute the summation of matrix A and B. The product of two square n times n matrices: C = A times B The entries for C are: c_ij = sigma^n _ k = 1 a_ik b_k2 where 1 lessthanorequalto i, j lessthanorequalto n and c_ij is the (i, j)-th entry of the matrix C. Write the following function to compute the product of two n times n square matrices:

Solution

#include<stdio.h>
#include<stdlib.h>
int sumEqual(int **A,int **B,int n)
{
   int s1=0,s2=0,i,j;
   //calculating sum of all elements in matrix A
   for(i=0;i<n;i++)
   {
       for(j=0;j<n;j++)
       {
           s1=s1+A[i][j];  
       }  
   }
   //calculating sum of all elements in matrix B
   for(i=0;i<n;i++)
   {
       for(j=0;j<n;j++)
       {
           s2=s2+B[i][j];  
       }  
   }
   if(s1==s2)return 0;//if sums are equal
   else return 1;//if sums are not equal
  
}

int isEqual(int **A,int **B,int n)
{
       int i,j;
   //checking whether both matrises are equal
   for(i=0;i<n;i++)
   {
       for(j=0;j<n;j++)
       {
           if(A[i][j]!=B[i][j])return 1;//if they are not equal//  
       }  
   }
   return 0;//if they are equal...
}
int diagonal(int **A,int n)
{
       int s1=0,s2=0,i,j;
   //calculating sum of all diagonal elements
   for(i=0;i<n;i++)
   {
       s1=s1+A[i][i];  
   }
   return s1;//returning sum...
  
}
int** sumMatrix(int **A,int **B,int n)
{
       int b[n][n],i,j;
   //calculating summmation of matrix A and B
   for(i=0;i<n;i++)
   {
       for(j=0;j<n;j++)
       {
           b[i][j]=B[i][j]+A[i][j];  
       }  
   }
   return b;//returning resultant matrix
}
int** product(int **A,int **B,int n)
{
   int c[n][n],i,j,k;
   //calculating matrix multiplication
   for(i=0;i<n;i++)
   {
       for(j=0;j<n;j++)
       {
           for(k=0;k<n;k++)
           {
               c[i][j]=A[i][k]*B[k][j];  
           }  
       }
          
   }
  
   return c;//returning resultant matrix...
}
int main()
{

   return 0;
}