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How to Transpose a Matrix using Nested Loop

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by vsasikalabe dot icon Updated: Jan 31, 2023

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For every outer loop iteration, the inner loop will run entirely. This enables the repeated processing of several datasets. A loop nested within another loop is referred to as a for a loop.  


A transpose of a matrix is a unique matrix where the rows and columns of the original matrix have been swapped. The element at position (i, j) in the original matrix becomes the element at position (j, i) in the transpose matrix. It is represented by a T superscript. For instance, if A is a matrix, then A^T is its transpose.  

To transpose a matrix using nested for loops, you would use two nested loops to iterate through the rows and columns of the matrix. The outer loop would iterate through the rows, and the inner loop would iterate through the columns. Other ways to perform matrix transpose are more optimized for specific use cases.  


You may have a look at the code given below for knowing more about nested for loop to transpose matrix.  

Fig : Preview of the output that you will get on running this code from your IDE.

Code

Nested for loop to transpose matrix

PythondotLines of Code : 29dotLicense : Strong Copyleft (CC BY-SA 4.0)

vertical_to_horizontal = [[0]*n]*n

n = 2
v_to_h = [[0]*n] * n
print(id(v_to_h[0]), id(v_to_h[1]))
#140243497120456 140243497120456

v_to_h[0][0] = 5

print(v_to_h)
#[[5, 0], [5, 0]]

n = 2
v_to_h = [[0]*n for i in range(n)]
print(id(v_to_h[0]), id(v_to_h[1]))
#140243437130184 140243512804488

def transpose_matrix(matrix):
    n = len(matrix)
    vertical_to_horizontal = [[0]*n for i in range(n)]
    for i in range(n):
        for j in range(n):
            vertical_to_horizontal[i][j] = matrix[j][i]
    return vertical_to_horizontal


print(transpose_matrix([[1,2],[3,4]]))
#[[1, 3], [2, 4]]

Instructions

Follow the steps carefully to get the output easily.

  1. Download and Install the PyCharm Community Edition on your computer.
  2. Create new python file on your IDE.
  3. Copy the snippet using the 'copy' button and paste it in your python file.
  4. Run the current file to generate the output.


I hope you found this useful.


I found this code snippet by searching for ' Nested for loop to transpose matrix 'in kandi. You can try any such use case!

Environment Tested

I tested this solution in the following versions. Be mindful of changes when working with other versions.

  1. The solution is created in PyCharm 2021.3.
  2. The solution is tested on Python 3.9.7.


Using this solution, we are able to do Nested for loop to transpose matrix in Python with simple steps. This process also facilities an easy way to use, hassle-free method to create a hands-on working version of code which would help us to do Nested for loop to transpose matrix in Python.

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