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Transpose of a Matrix

Certification: Basic Level Accuracy: 31.25% Submissions: 16 Points: 10

Write a C++ program that finds the transpose of a given 2D matrix. The transpose of a matrix is obtained by flipping the matrix over its diagonal, and switching the row and column indices of the matrix.

Example 1
    
  
  • Input: matrix = [ 
     [1, 2, 3],
     [4, 5, 6],

     [7, 8, 9]
  ]
    • 
  
  • Output: [

     [1, 4, 7],
     [2, 5, 8],
     [3, 6, 9]
  ]
    • 
  
  • Explanation: 
      
    
    • Step 1: Create a new matrix with dimensions swapped (rows become columns, columns become rows).
      • 
    
    • Step 2: For each element at position (i, j) in the original matrix, place it at position (j, i) in the new matrix.
      • 
    
    • Step 3: Return the transposed matrix.
      • 
  
    •
Example 2
    
  
  • Input: matrix = [

     [1, 2],

     [3, 4]
  ]
    • 
  
  • Output: [

     [1, 3],

     [2, 4]
  ]
    • 
  
  • Explanation: 
      
    
    • Step 1: Create a new matrix with dimensions swapped (2×2 remains 2×2 for a square matrix).
      • 
    
    • Step 2: For each element at position (i, j) in the original matrix, place it at position (j, i) in the new matrix.
      • 
    
    • Step 3: Return the transposed matrix.
      • 
  
    •
Constraints
    
  
  • 1 ≤ rows, cols ≤ 1000
    • 
  
  • Matrix elements are integers
    • 
  
  • Time Complexity: O(n*m), where n is the number of rows and m is the number of columns
    • 
  
  • Space Complexity: O(n*m)
    •
ArraysControl StructuresCognizantTech Mahindra
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Hint
Solution

Solution Hints

    
  
  • Create a new matrix with dimensions swapped (rows become columns and vice versa).
    • 
  
  • Iterate through the original matrix and fill the new matrix accordingly.
    • 
  
  • Handle edge cases where the matrix is empty or has only one element.
    •

Steps to solve by this approach:

 Step 1: Define a function transposeMatrix that takes a 2D array and its dimensions.
 Step 2: Create a new array with reversed dimensions to store the transposed matrix.
 Step 3: Use nested loops to exchange rows and columns of the original matrix.
 Step 4: Store matrix[i][j] in transposed[j][i] for each element.
 Step 5: Print the transposed matrix.
 Step 6: In main, create a matrix and call the function.

Submitted Code :