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Program to find the Sum of each Row and each Column of a Matrix
  • Difficulty Level : Basic
  • Last Updated : 04 Feb, 2021

Given a matrix of order m*n, the task is to find out the sum of each row and each column of a matrix.

Examples: 

Input: array[4][4] = { {1, 1, 1, 1}, 
                       {2, 2, 2, 2}, 
                       {3, 3, 3, 3}, 
                       {4, 4, 4, 4}};
Output: Sum of the 0 row is = 4
        Sum of the 1 row is = 8
        Sum of the 2 row is = 12
        Sum of the 3 row is = 16
        Sum of the 0 column is = 10
        Sum of the 1 column is = 10
        Sum of the 2 column is = 10
        Sum of the 3 column is = 10

Approach: 
 

The sum of each row and each column can be calculated by traversing through the matrix and adding up the elements.
Below is the implementation of the above approach: 
 

C++




// C++ program to find the sum
// of each row and column of a matrix
 
#include <iostream>
using namespace std;
 
// Get the size m and n
#define m 4
#define n 4
 
// Function to calculate sum of each row
void row_sum(int arr[m][n])
{
 
    int i,j,sum = 0;
 
    cout << "\nFinding Sum of each row:\n\n";
 
    // finding the row sum
    for (i = 0; i < m; ++i) {
        for (j = 0; j < n; ++j) {
 
            // Add the element
            sum = sum + arr[i][j];
        }
 
        // Print the row sum
        cout
            << "Sum of the row "
            << i << " = " << sum
            << endl;
 
        // Reset the sum
        sum = 0;
    }
}
 
// Function to calculate sum of each column
void column_sum(int arr[m][n])
{
 
    int i,j,sum = 0;
 
    cout << "\nFinding Sum of each column:\n\n";
 
    // finding the column sum
    for (i = 0; i < m; ++i) {
        for (j = 0; j < n; ++j) {
 
            // Add the element
            sum = sum + arr[j][i];
        }
 
        // Print the column sum
        cout
            << "Sum of the column "
            << i << " = " << sum
            << endl;
 
        // Reset the sum
        sum = 0;
    }
}
 
// Driver code
int main()
{
 
    int i,j;
    int arr[m][n];
 
    // Get the matrix elements
    int x = 1;
    for (i = 0; i < m; i++)
        for (j = 0; j < n; j++)
            arr[i][j] = x++;
 
    // Get each row sum
    row_sum(arr);
 
    // Get each column sum
    column_sum(arr);
 
    return 0;
}


Java




// Java program to find the sum
// of each row and column of a matrix
 
import java.io.*;
 
class GFG {
 
    // Get the size m and n
    static int m = 4;
    static int n = 4;
 
    // Function to calculate sum of each row
    static void row_sum(int arr[][])
    {
 
        int i, j, sum = 0;
 
        System.out.print("\nFinding Sum of each row:\n\n");
 
        // finding the row sum
        for (i = 0; i < m; ++i) {
            for (j = 0; j < n; ++j) {
 
                // Add the element
                sum = sum + arr[i][j];
            }
 
            // Print the row sum
            System.out.println("Sum of the row " + i + " = "
                               + sum);
 
            // Reset the sum
            sum = 0;
        }
    }
 
    // Function to calculate sum of each column
    static void column_sum(int arr[][])
    {
 
        int i, j, sum = 0;
 
        System.out.print(
            "\nFinding Sum of each column:\n\n");
 
        // finding the column sum
        for (i = 0; i < m; ++i) {
            for (j = 0; j < n; ++j) {
 
                // Add the element
                sum = sum + arr[j][i];
            }
 
            // Print the column sum
            System.out.println("Sum of the column " + i
                               + " = " + sum);
 
            // Reset the sum
            sum = 0;
        }
    }
 
    // Driver code
    public static void main(String[] args)
    {
        int i, j;
        int[][] arr = new int[m][n];
 
        // Get the matrix elements
        int x = 1;
        for (i = 0; i < m; i++)
            for (j = 0; j < n; j++)
                arr[i][j] = x++;
 
        // Get each row sum
        row_sum(arr);
 
        // Get each column sum
        column_sum(arr);
    }
}
// This code is contributed by inder_verma..


Python 3




# Python3 program to find the sum
# of each row and column of a matrix
 
# import numpy library as np alias
import numpy as np
 
# Get the size m and n
m , n = 4, 4       
 
# Function to calculate sum of each row
def row_sum(arr) :
 
    sum = 0
 
    print("\nFinding Sum of each row:\n")
 
    # finding the row sum
    for i in range(m) :
        for j in range(n) :
 
            # Add the element
            sum += arr[i][j]
 
        # Print the row sum
        print("Sum of the row",i,"=",sum)
 
        # Reset the sum
        sum = 0
 
 
# Function to calculate sum of each column
def column_sum(arr) :
 
    sum = 0
 
    print("\nFinding Sum of each column:\n")
 
    # finding the column sum
    for i in range(m) :
        for j in range(n) :
 
            # Add the element
            sum += arr[j][i]
 
        # Print the column sum
        print("Sum of the column",i,"=",sum)
 
        # Reset the sum
        sum = 0
 
         
 
# Driver code    
if __name__ == "__main__" :
 
    arr = np.zeros((4, 4))
 
    # Get the matrix elements
    x = 1
     
    for i in range(m) :
        for j in range(n) :
            arr[i][j] = x
 
            x += 1
                 
    # Get each row sum
    row_sum(arr)
 
    # Get each column sum
    column_sum(arr)
 
# This code is contributed by
# ANKITRAI1


C#




// C# program to find the sum
// of each row and column of a matrix
using System;
 
class GFG {
 
    // Get the size m and n
    static int m = 4;
    static int n = 4;
 
    // Function to calculate sum of each row
    static void row_sum(int[, ] arr)
    {
 
        int i, j, sum = 0;
 
        Console.Write("\nFinding Sum of each row:\n\n");
 
        // finding the row sum
        for (i = 0; i < m; ++i) {
            for (j = 0; j < n; ++j) {
 
                // Add the element
                sum = sum + arr[i, j];
            }
 
            // Print the row sum
            Console.WriteLine("Sum of the row " + i + " = "
                              + sum);
 
            // Reset the sum
            sum = 0;
        }
    }
 
    // Function to calculate sum
    // of each column
    static void column_sum(int[, ] arr)
    {
 
        int i, j, sum = 0;
 
        Console.Write("\nFinding Sum of each"
                      + " column:\n\n");
 
        // finding the column sum
        for (i = 0; i < m; ++i) {
            for (j = 0; j < n; ++j) {
 
                // Add the element
                sum = sum + arr[j, i];
            }
 
            // Print the column sum
            Console.WriteLine("Sum of the column " + i
                              + " = " + sum);
 
            // Reset the sum
            sum = 0;
        }
    }
 
    // Driver code
    public static void Main()
    {
        int i, j;
        int[, ] arr = new int[m, n];
 
        // Get the matrix elements
        int x = 1;
        for (i = 0; i < m; i++)
            for (j = 0; j < n; j++)
                arr[i, j] = x++;
 
        // Get each row sum
        row_sum(arr);
 
        // Get each column sum
        column_sum(arr);
    }
}
 
// This code is contributed
// by Akanksha Rai(Abby_akku)


PHP




<?php
// PHP program to find the sum
// of each row and column of a matrix
 
// Get the size m and n
$m = 4;
$n = 4;
 
// Function to calculate sum of each row
function row_sum(&$arr)
{
    $sum = 0;
 
    echo "Finding Sum of each row:\n\n";
 
    // finding the row sum
    for ($i = 0; $i < m; ++$i)
    {
        for ($j = 0; $j < n; ++$j)
        {
 
            // Add the element
            $sum = $sum + $arr[$i][$j];
        }
 
        // Print the row sum
        echo "Sum of the row " . $i .
             " = " . $sum . "\n";
             
        // Reset the sum
        $sum = 0;
    }
}
 
// Function to calculate sum of each column
function column_sum(&$arr)
{
    $sum = 0;
 
    echo "\nFinding Sum of each column:\n\n";
 
    // finding the column sum
    for ($i = 0; $i < m; ++$i)
    {
        for ($j = 0; $j < n; ++$j)
        {
 
            // Add the element
            $sum = $sum + $arr[$j][$i];
        }
 
        // Print the column sum
        echo "Sum of the column " . $i .
                    " = " . $sum . "\n";
         
        // Reset the sum
        $sum = 0;
    }
}
 
// Driver code
$arr = array_fill(0, $m, array_fill(0, $n, NULL));
 
// Get the matrix elements
$x = 1;
for ($i = 0; $i < $m; $i++)
    for ($j = 0; $j < $n; $j++)
        $arr[$i][$j] = $x++;
 
// Get each row sum
row_sum($arr);
 
// Get each column sum
column_sum($arr);
 
// This code is contributed by ita_c
?>


Output: 

Finding Sum of each row:

Sum of the row 0 = 10
Sum of the row 1 = 26
Sum of the row 2 = 42
Sum of the row 3 = 58

Finding Sum of each column:

Sum of the column 0 = 28
Sum of the column 1 = 32
Sum of the column 2 = 36
Sum of the column 3 = 40

 

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