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Sum of Two Matrices

Certification: Basic Level Accuracy: 100% Submissions: 4 Points: 10

Write a C++ program to find the sum of two matrices. The program should take two matrices of the same size as input and return their sum.

Example 1
    
  
  • Input: 
    Matrix A = [
    
      [1, 2],
    
      [3, 4]
    
    ]
    Matrix B = [
    
      [5, 6],
    
      [7, 8]
    
    ]
    • 
  
  • Output: [
    
    [6, 8],
    
    [10, 12]
    
  ]
    • 
  
  • Explanation: 
      
    
    • Step 1: Verify that matrices A and B have the same dimensions (2×2).
      • 
    
    • Step 2: Create a result matrix with the same dimensions.
      • 
    
    • Step 3: Add corresponding elements: result[0][0] = A[0][0] + B[0][0] = 1 + 5 = 6.
      • 
    
    • Step 4: Continue for all elements: result[0][1] = 2 + 6 = 8, result[1][0] = 3 + 7 = 10, result[1][1] = 4 + 8 = 12.
      • 
    
    • Step 5: Return the resulting matrix.
      • 
  
    •
Example 2
    
  
  • Input:
    Matrix A = [
    
      [1, 2, 3],
    
      [4, 5, 6]
    
    ]
    Matrix B = [
    
      [7, 8, 9],
    
      [10, 11, 12]
    
    ]
    • 
  
  • Output: [
    
    [8, 10, 12],
    
    [14, 16, 18]
    
  ]
    • 
  
  • Explanation: 
      
    
    • Step 1: Verify that matrices A and B have the same dimensions (2×3).
      • 
    
    • Step 2: Create a result matrix with the same dimensions.
      • 
    
    • Step 3: Add corresponding elements for each position in the matrices.
      • 
    
    • Step 4: For the first row: [1+7, 2+8, 3+9] = [8, 10, 12].
      • 
    
    • Step 5: For the second row: [4+10, 5+11, 6+12] = [14, 16, 18].
      • 
    
    • Step 6: Return the resulting matrix.
      • 
  
    •
Constraints
    
  
  • The matrices must be of the same size
    • 
  
  • The matrices can have a maximum size of 100×100
    • 
  
  • Time Complexity: O(n²), where n is the size of the matrices
    • 
  
  • Space Complexity: O(n²) for storing the result matrix
    •
ArraysControl StructuresDeloitteSwiggy
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Hint
Solution

Solution Hints

    
  
  • Use nested loops to iterate through the matrices and add corresponding elements.
    • 
  
  • Store the result in a new matrix.
    •

Steps to solve by this approach:

 Step 1: Define a function sum_matrices that takes two constant 2D vectors as parameters.
 Step 2: Extract the number of rows and columns from the first matrix.
 Step 3: Create a result matrix with the same dimensions, initialized with zeros.
 Step 4: Use nested loops to iterate through each element of both matrices.
 Step 5: Add corresponding elements and store in the result matrix.
 Step 6: Return the resulting matrix.
 Step 7: In main, create two matrices, call the function, and print the result.

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