CodeGraderBench/CodeGraderBench huggingface dataset:
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
void compute_matrixtranspose_matrix_product (int A[][8], int m, int n, int ATA[][8]){
int AT[8][8];
for(int i=0;i<n;i++){for(int j=0;j<n;j++){ATA[i][j]=0;}}
for(int i=0;i<m;i++){for(int j=0;j<n;j++){AT[j][i]=A[i][j];}}
for(int i=0;i<n;i++){for(int j=0;j<n;j++){
for(int k=0;k<m;k++){
ATA[i][j]+=AT[i][k]*A[k][j];}}}}
int main(){
int A[8][8];
int ATA[8][8];
int m,n;
cin>>m>>n;
for(int i=0;i<m;i++){for(int j=0;j<n;j++){cin>>A[i][j];}}
compute_matrixtranspose_matrix_product (A,m,n,ATA);
for(int i=0;i<n;i++){for(int j=0;j<n;j++){cout<<ATA[i][j]<<" ";}cout<<endl;}}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
const int MAX=10;
void transposenproduct(int a[][MAX],int ata[][MAX],int m,int n){
	int **at=new int* [MAX];
	for (int i=0;i<MAX;i++){
		at[i]=new int [MAX];
	}
	for (int i=0;i<m;i++){
		for (int j=0;j<n;j++){
			at[j][i]=a[i][j];
		}
	}
	for (int i=0;i<n;i++){
		for (int j=0;j<n;j++){
			ata[i][j]=0;
			for (int k=0;k<m;k++){
				ata[i][j]=ata[i][j]+at[i][k]*a[k][j];
			}
		}
	}
	return;
}
int main (){
	int m,n;
	cin>>m>>n;
	int a[MAX][MAX];
	int ata[MAX][MAX];
	for (int i=0;i<m;i++){
		for (int j=0;j<n;j++){
			cin>>a[i][j];
		}
	}
	transposenproduct(a,ata,m,n);
	for (int i=0;i<n;i++){
		for (int j=0;j<n;j++){
			cout<<ata[i][j]<<" ";
		}
		cout<<endl;
	}
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;

// a is the matrix given by user 
// t is the transpose matrx of a
// p is the product matrix of a nd t

void inputmatrix(int a[][8],int m,int n){
    for(int i=0;i<m;i++){
        for(int j=0;j<n;j++){
              cin>>a[i][j];
             }
     }
}

void transpose(int a[][8],int t[][8],int m,int n){
     for(int i=0;i<n;i++){
        for(int j=0;j<m;j++){
              t[i][j]=a[j][i];
             }
     }
}

void compute_matrixtranspose_matrix_product(int a[][8], int t[][8], int p[][8], int m, int n){

int i,j,k;
for(i=0;i<m;i++) {
for(j=0;j<m;j++){
			p[i][j] = 0;
	for(k=0;k<n;k++){
			p[i][j] += a[i][k]*t[k][j]; 
			}
} 
}
}

void print(int p[][8],int m,int n){
       for(int i=0;i<n;i++){
        for(int j=0;j<n;j++){
              cout<<p[i][j]<<" ";
             }
     }
}

int main(){
  int a[8][8];
  int t[8][8];
  int p[8][8];
  int m,n;
  cin>>m>>n;
  inputmatrix(a,m,n);
  transpose(a,t,m,n);
  compute_matrixtranspose_matrix_product(a,t,p,m,n);
  print(p,m,n);
  
  
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<simplecpp>
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]);
{
	//i am not being able to compute this as i dont know the formula of finding A transpose
	int AT[][];
	for(i=0;i<m;i++){
		for(j=0;j<n;j++){
			AT[j][i]=A[i][j];}
	}
	
	for(i=0;i<m;i++){
		for(j=0;j<n;j++){
			ATA[i][j]=AT[j][i]*A[i][j];}
	}
	for(i=0;i<m;i++){
		for(j=0;j<n;j++){
			cout>>ATA[i][j];}
		cout>>endl;
	}
}
main_program{
	int n,m,i,j;
	cin>>m;
	cin>>n;
	int A[m][n];
	for(i=0;i<m;i++){
		for(j=0;j<n;j++){
			cin>>A[i][j];
		}
	}
	for(i=0;i<m;i++){
		for(j=0;j<n;j++){
			cout<<A[i][j];
		}
		cout<<endl;
	}
	int ATA[n][m];
	compute_matrixtranspose_matrix_product(A[][n],m,n,ATA[][m]);
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 100
void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]){
	int AT[MAX][MAX];
	for(int i=0;i<m;i++){
	for(int j=0;j<n;j++){
	AT[j][i]=A[i][j];
	}
	}
	for (int i=0;i<n;i++){
	for(int j=0;j<n;j++){
	ATA[i][j]=0;
	for(int k=0;k<m;k++){
	ATA[i][j]=(AT[i][k])*(A[k][j]) + ATA[i][j] ;
	}
	}
	}
	for(int i=0;i<n;i++){
	for(int j=0;j<n;j++){
	cout<<ATA[i][j]<<" ";
	}
	cout<<endl;
	}	
}
int main(){
     int m,n;
     cin>>m>>n;
     int A[MAX][MAX];
     int ATA[MAX][MAX];
     for(int i=0;i<m;i++){
     for(int j=0;j<n;j++){
	  cin>>A[i][j];
	  }
	  }
     compute_matrixtranspose_matrix_product(A,m,n,ATA);

}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 8  
  compute_matrixtranpose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]){
   
   for( int i=0;i<m;i++){
     for( int j=0;j<n;j++){
     cin>>A[i][j]>>" ";
     }
     cout<<endl;
     }
     int i,j
    int AT[i][j]=0;
     for( i=0;i<m;i++){
     for( j=0;j<n;j++){
      int temp=i;
       i=j;
       j=i;
       int tranpose =AT[i][j];
       }
       }
       
   for(int i=0;i<m;i++){
   for(int  j=0;j<n;j++){
     int ATA=[i][j];
     for(int k=0;k<n;k++){
     ATA[i][j]+=A[i][k]*A[k][j];
     }
     }
     }
     
        
  int main(){
  int m,n;
  cin>>m>>n;
  cout<<compute_matrixtranspose_matrix_product(A[][MAX],m,n,ATA[][MAX]);
  }

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 8
using namespace std;


void get_matrix(int A[][MAX], int m, int n) //inputs matrix
{
    for(int i=0; i<m; i++)
    {
        for(int j=0; j<n; j++)
        {
            cin>>A[i][j];
        }
    }
}

void transpose(int A[][MAX], int m, int n, int AT[][MAX]) //stores transpose of A in AT
{
    for(int i=0; i<m; i++)
    {
        for(int j=0; j<n; j++)
        {
            AT[j][i] = A[i][j];
        }
    }

}

void display_matrix(int A[][MAX], int m, int n)
{
    for(int i=0; i<m; i++)
    {
        for(int j=0; j<n; j++)
        {
            cout<<A[i][j]<<' ';
        }
        cout<<endl;
    }
}

void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX])
{
    int AT[n][MAX];
    transpose(A, m, n, AT);
    for(int i=0; i<n; i++)
    {
        for(int j=0; j<n;j++)
        {
            ATA[i][j] = 0;
            for(int k=0; k<m; k++)
            {
                ATA[i][j] += AT[i][k] * A[k][j];

            }
        }
    }
}


int main()
{
    int m,n;
    cin>>m;
    cin>>n;
    int A[m][MAX];
    get_matrix(A, m, n);

    int result[n][MAX];

    compute_matrixtranspose_matrix_product(A, m, n, result);

    display_matrix(result, n, n);








return 0;
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include <iostream>
using namespace std;
#define MAX 100
void compute_matrixtranspose_matrix_product(int A[][MAX],int m, int n,int AtA[][MAX]){
	int **At = new int*[n]; 
	for(int i=0;i<n;i++){
		At[i] =  new int [m];
	}
	for (int i = 0; i<n;i++){
		for (int j=0; j<m;j++){
			At[i][j]=A[j][i];
		}
	}
	for (int i = 0;i<n;i++){
		for (int j = 0; j<n;j++){
			AtA[i][j]=0;
			for (int k=0;k<m;k++){
				AtA[i][j]+=At[i][k]*A[k][j];
			}
		}
	}
	for(int i=0;i<n;i++) delete [] At[i];
delete [] At;
}
void get_input(int A[][MAX],int m, int n){
	for (int i =0;i<m;i++){
		for (int j=0;j<n;j++){
			cin >> A[i][j];
		}
	}
}
void display(int AtA[][MAX],int n){
	for (int i =0;i<n;i++){
		for (int j=0;j<n;j++){
			cout << AtA[i][j]<<" ";
		}cout<<endl;
	}
}
int main(){
	int m,n;
	cin>> m >> n;
	int A[m][MAX],AtA[n][MAX];
	get_input(A,m,n);
	compute_matrixtranspose_matrix_product(A,m,n,AtA);
	display(AtA,n);
	return 0;
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
void product(int a[][8],int b[][8],int c[][8],int m,int n){
for(int i=0;i<m;i++)for(int j=0;j<n;j++)b[j][i]=a[i][j];
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
c[i][j]=0;
for(int k=0;k<m;k++)c[i][j]+=b[i][k]*a[k][j];
}
}
}
int main(){
int m,n;cin>>m>>n;
int a[m][8],b[n][8],c[n][8];
for(int i=0;i<m;i++)for(int j=0;j<n;j++)cin>>a[i][j];
product(a,b,c,m,n);
for(int i=0;i<n;i++){
for(int j=0;j<n;j++)cout<<c[i][j]<<" ";
cout<<endl;
}
return 0;
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#include<cmath>
using namespace std;
#define MAX 1000

void compute_matrixtranspose_matrix_product(int A[][MAX], int m, int n, int AtA[][MAX])
{for(int i=0;i<n;i++)
{
  for(int j=0;j<n;j++)
  {AtA[i][j]=0;
    for(int k=0;k<m;k++)
    AtA[i][j]+=A[k][i]*A[k][j];
  }
}
}
int main()
{int m,n;
cin>>m>>n;
int A[MAX][MAX];
for(int i=0;i<m;i++)
{
for(int j=0;j<n;j++)
cin>>A[i][j];
}
int AtA[MAX][MAX];
compute_matrixtranspose_matrix_product(A,m,n,AtA);
for(int i=0;i<n;i++)
{for(int j=0;j<n;j++)
cout<<AtA[i][j]<<" ";
cout<<endl;	
}
cout<<endl;
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 8
using namespace std;
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]){
for(int i=0;i<m;i++){
 for(int j=0;j<n;j++){
 if(i!=j)ATA[j][i]=A[i][j];
 else ATA[i][j]=A[i][j];
 }}
int C[MAX][MAX];
int i,j,k;
for(i=0;i<n;i++) {
for(j=0;j<n;j++){
C[i][j] = 0;
for(k=0;k<m;k++){
C[i][j] += ATA[i][k]*A[k][j];
} 
} 
}
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cout<<C[i][j]<<" ";}
cout<<endl;}
}
int main(){
int m,n;
cin>>m>>n;
int a[MAX][MAX];
for(int i=0;i<m;i++){ 
for(int j=0;j<n;j++){
cin>>a[i][j];}}
int t[MAX][MAX];
compute_matrixtranspose_matrix_product(a,m,n,t);}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
#define MAX 100
using namespace std;
void InputMatrix(int A[][MAX],int m,int n) {
	for (int i=0;i<m;i++) {
		for (int j=0;j<n;j++) {
			cin>>A[i][j];
		}
	}
}
void TransposeMatrix(int A[][MAX],int AT[][MAX],int m,int n) {
	for (int i=0;i<m;i++) {
		for (int j=0;j<n;j++) {
			AT[j][i]=A[i][j];
		}
	}
}
void compute_matrixtranspose_matrix_product(int A[][MAX],int m,int n,int ATA[][MAX]) {
	for (int i=0;i<n;i++) {
		for (int j=0;j<n;j++) {
			ATA[i][j]=0;
			for (int k=0;k<m;k++) {
				ATA[i][j]+=A[k][i]*A[k][j];
			}
		}
	}
}
void DisplayMatrix(int A[][MAX],int m,int n) {
	for (int i=0;i<m;i++) {
		for (int j=0;j<n;j++) {
			cout<<A[i][j]<<" ";
		}
		cout<<endl;
	}
}
int main() {
	int A[MAX][MAX],ATA[MAX][MAX],m,n;
	cin>>m>>n;
	InputMatrix(A,m,n);
	compute_matrixtranspose_matrix_product(A,m,n,ATA);
	DisplayMatrix(ATA,n,n);
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
#define MAX 10
void compute_matrixtranspose_matrix_product (int A[][MAX], int n, int m, int ATA[][MAX]){
	int p[MAX][MAX];
	for(int i=0;i<m;i++){
	for(int j=0;j<n;j++){
		ATA[i][j]=A[j][i];
	}
	}
	for(int i=0;i<n;i++){
	for(int j=0;j<n;j++){
		p[i][j]=0;for(int x=0;x<m;x++) p[i][j]+=A[i][x]*ATA[x][j];
	}
	}
	for(int i=0;i<n;i++){
	for(int j=0;j<n;j++){
		cout<<p[i][j]<<" ";
	}
	cout<<endl;
	}
}
void input(int A[][MAX],int n,int m){
	for(int j=0;j<m;j++){
	for(int i=0;i<n;i++){
	cin>>A[i][j];
	}
	}
}
int main(){
int A[MAX][MAX],ATA[MAX][MAX],m,n;
cin>>m>>n;
input(A,n,m);
compute_matrixtranspose_matrix_product (A,n,m,ATA);
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: D
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include <iostream>
using namespace std;
const int MAX=100;
void get2Darray (int A[][MAX], int m, int n){
int i,j;
for(i=0;i<m;i++){
                for(j=0;j<n;j++){
                        
                        cin >> A[i][j];
                }
}
}

void compute_matrixtranspose_matrix_product (int A[][MAX],int m, int n, int ATA[][MAX])
{
	int i,j; int AT[n][m];
for(i=0;i<n;i++){
                for(j=0;j<m;j++){
                        AT[i][j]=A[j][i];
                }
}
for(i=0;i<n;i++){
                for(j=0;j<n;j++){
                        ATA[i][j]=0;
                }
}	
	for(i=0;i<n;i++){
                for(j=0;j<n;j++){
					for (int k=0; k<m; k++)
                        ATA[i][j]+=AT[i][k]*A[k][j];
                }

}
}

void print2Darray (int A[][MAX], int n1, int n2){
int i,j;
for(i=0;i<n1;i++){
                for(j=0;j<n2;j++){
                        cout << A[i][j] << " ";
                }
                cout << endl;
}
}

	int main()
	{
		int m,n;
		cin >> m >> n;
		int A [m][MAX]; int ATA [n][MAX];
		get2Darray ( A, m,n);
		compute_matrixtranspose_matrix_product(A,m,n,ATA);
		print2Darray (ATA,n,n);
	}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A
Problem: Write a C++ program to take the dimensions of a matrix (m,n) as input from the user. The program should then take the matrix (let us call it A) itself as input from the user. Following this, the program should compute the product of the transpose of A with A (i.e. ATA of size n x n) and display the result. To accomplish this task, write a function of the form void compute_matrixtranspose_matrix_product (int A[][MAX], int m, int n, int ATA[][MAX]).

Constraints
n is a positive integer, m,n <= 8

Student submission:
#include<iostream>
using namespace std;
void transpose(int A[100][100], int At[100][100], int m, int n)
{
   for(int i=0; i<m; i++ )
   {
      for(int j=0; j<n; j++ )
      {
         At[j][i] = A[i][j];
      }
   }
}
void product_of_matrices( int A[100][100], int B[100][100], int pAB[100][100], int mA, int nA, int mB, int nB)
{
   if(nA!=mB) {cout << "Incorrect order"; return;}
   for(int i=0; i<mA; i++)
   {
      for(int j=0; j<nB; j++) pAB[i][j] = 0;
   }
   for(int i=0; i<mA; i++)
   {
      for(int j=0; j<nB; j++)
      {
         for(int k=0; k<nA; k++) pAB[i][j] += A[i][k] * B[k][j];
      }
   }
}
void display_matrix( int A[100][100], int m, int n)
{
   for( int i=0; i<m; i++)
   {
      for( int j=0; j<n; j++)
      {
         cout << A[i][j] << " ";
      }
      cout << endl;
   }
}
void input_matrix( int A[100][100], int m, int n)
{
   for(int i=0; i<m; i++)
   {
      for( int j=0; j<n; j++)
      {
         cin >> A[i][j];
      }
   }
}
void compute_matrixtranspose_matrix_product( int A[100][100], int m, int n, int AtA[100][100] )
{
   int At[100][100];
   transpose( A, At, m, n);
   product_of_matrices( At, A, AtA, n, m, m, n );
}
int main()
{
   int m,n;
   cin >> m >> n;
   int A[100][100], AtA[100][100];
   input_matrix( A, m, n );
   compute_matrixtranspose_matrix_product( A, m, n, AtA);
   display_matrix( AtA, n, n );
   return 0;
}

Grading criterion: Eg Use of functions beyond what was instructed or any other nice quality
Rating A: Some extra nice qualities
Rating B: 0
Rating C: 0
Rating D: nothing extra
Assigned grade: A