Write a c program Sum the major diagonal in a matrix Write a

Write a c++ program:

(Sum the major diagonal in a matrix) Write a function that sums all the double values in the major diagonal in an n*n matrix of double values using the following header:

const int SIZE=4;

double sumMajorDiagonal(const double m[][SIZE]);

Write a test program that reads a 4 by 4 matrix and displays the sum of all its elements on the major diagonal. Here is a smaple run:

Enter a 4-by4 matrix row by row:

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

Sum of the elements in the major diagonal is 34.

Additional details:

Prompt user to enter n (the size of the n x n matrix). The program should work for any n >= 2.

Prompt the user to enter the elements in the matrix row-by-row.

Display the sum of the elements in the major diagonal and call a function to find the sum of each column). The sum should be displayed from the main function, not from the function sumMajorDiagonal.

Include a printout of the main program and the function.

Include printouts for the test case in the aabove as well as for a 2x2 matrix and a 3x3 matrix

Solution

#include <iostream>

using namespace std;

const int SIZE=4;
double sumMajorDiagonal(double m[][SIZE]);

int main()
{
int n;
//double matrix[][];
double sum=0;
double matrix[SIZE][SIZE];
//enter the size of the matrix
cout << \"Enter the size of the matrix (nxn)\" << endl;
cin>>n;

//loop to take matrix value row-by-row
cout<< \"Enter the matrix row by row\"<<endl;
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
cin>>matrix[i][j];
}
}
sum=sumMajorDiagonal(matrix);
cout<<\"The sum of major diagonal is \"<<sum;
return 0;
}
// method to calculate the sum of major diagonal and returns the sum to the main function
double sumMajorDiagonal(double m[][SIZE]){
double sum=0;
for(int i=0;i<SIZE;i++){
for(int j=0;j<SIZE;j++){
if( i==j )
sum += m[i][j];
}
}
return sum;
}

----------------------output-----------------------------
Enter the size of the matrix (nxn)
2   
Enter the matrix row by row   
1   
2   
3   
4   
The sum of major diagonal is 5

---------------------
Enter the size of the matrix (nxn)
3   
Enter the matrix row by row   
1   
2   
3   
4   
5   
6   
7   
8   
9   
The sum of major diagonal is 15
--------------------------------
Enter the size of the matrix (nxn)
4   
Enter the matrix row by row   
1   
2   
3   
4   
5   
6   
7   
8   
9   
10
11
12
13
14
15
16
The sum of major diagonal is 34

Note:
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