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Difference Between Two Matrices

Certification: Basic Level Accuracy: 62.5% Submissions: 8 Points: 10

Write a C++ program to find the difference between two matrices. The program should take two matrices of the same size as input and return their difference (A - B).

Example 1
    
  
  • Input: 
    Matrix A = [

     [1, 2],

     [3, 4]
    ]

     Matrix B = [

     [5, 6],

     [7, 8]
    ]
    • 
  
  • Output: [
    [-4, -4],
    [-4, -4]
  ]
    • 
  
  • 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: Subtract corresponding elements: result[0][0] = A[0][0] - B[0][0] = 1 - 5 = -4.
      • 
    
    • Step 4: Continue for all elements: result[0][1] = 2 - 6 = -4, result[1][0] = 3 - 7 = -4, result[1][1] = 4 - 8 = -4.
      • 
    
    • 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: [
    [-6, -6, -6],
    [-6, -6, -6]
  ]
    • 
  
  • 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: Subtract corresponding elements for each position in the matrices.
      • 
    
    • Step 4: For the first row: [1-7, 2-8, 3-9] = [-6, -6, -6].
      • 
    
    • Step 5: For the second row: [4-10, 5-11, 6-12] = [-6, -6, -6].
      • 
    
    • 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 StructuresHCL TechnologiesSamsung
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Hint
Solution

Solution Hints

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

Steps to solve by this approach:

 Step 1: Define a function subtract_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: Subtract 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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