Matrix Transpose Without Numpy In Python
Last Updated :
26 Feb, 2024
Matrix transpose is a fundamental operation in linear algebra where the rows of a matrix are swapped with its columns. This operation is denoted by A^T, where A is the original matrix. The transposition of a matrix has various applications, such as solving systems of linear equations, computing the inner product of matrices, and more
What is Matrix Transpose?
A transpose of a matrix is an operation that switches the positions of its rows and columns. If you have a matrix A with dimensions m×n, the transpose A^T will have dimensions n×m, and the elements of A^T will be such that the i-th row of A^T is the i-th column of A. Here, I'll provide a general explanation using mathematical notation and Python syntax:
A^T =
\begin{bmatrix}
a_{11} & a_{21} \\
a_{12} & a_{22} \\
\end{bmatrix}
Matrix Transpose Without Numpy in Python
Below, are the methods of Matrix Transpose Without Numpy In Python.
Matrix Transpose Without Numpy Using Nested Loops
In this example, below Python code transposes a given matrix by initializing an empty matrix 'transposed' with dimensions swapped. It then iterates through the original matrix, assigning the transposed values to the new matrix. Finally, it prints both the original and transposed matrices for comparison.
Python3
matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
]
rows = len(matrix)
cols = len(matrix[0])
transposed = [[0 for _ in range(rows)] for _ in range(cols)]
for i in range(rows):
for j in range(cols):
transposed[j][i] = matrix[i][j]
print("Original Matrix:")
for row in matrix:
print(row)
print("\nTransposed Matrix:")
for row in transposed:
print(row)
OutputOriginal Matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]
Transposed Matrix:
[1, 4, 7]
[2, 5, 8]
[3, 6, 9]
Matrix Transpose Without Numpy Using List Comprehension
In this example, below Python code efficiently transposes a given matrix using list comprehension and zip. It creates the transposed matrix by extracting columns from the original matrix. The code then prints both the original and transposed matrices for comparison.
Python3
matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
]
transposed = [[row[i] for row in matrix] for i in range(len(matrix[0]))]
print("Original Matrix:")
for row in matrix:
print(row)
print("\nTransposed Matrix:")
for row in transposed:
print(row)
OutputOriginal Matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]
Transposed Matrix:
[1, 4, 7]
[2, 5, 8]
[3, 6, 9]
Matrix Transpose Without Numpy Using zip() Function
In this example, below Python code efficiently transposes a given matrix using the zip function with the unpacking operator (*). It creates the transposed matrix by unpacking columns from the original matrix. The code then prints both the original and transposed matrices for comparison.
Python3
matrix = [
[1, 2, 3],
[4, 5, 6],
[7, 8, 9]
]
transposed = [list(row) for row in zip(*matrix)]
print("Original Matrix:")
for row in matrix:
print(row)
print("\nTransposed Matrix:")
for row in transposed:
print(row)
OutputOriginal Matrix:
[1, 2, 3]
[4, 5, 6]
[7, 8, 9]
Transposed Matrix:
[1, 4, 7]
[2, 5, 8]
[3, 6, 9]
Conclusion
In Conclusion , above Python processes efficiently achieve matrix transposition without relying on NumPy. The first uses nested loops to swap rows and columns. The second employs nested list comprehension for a more compact solution. The third utilizes the zip function with unpacking, offering a concise and elegant approach. Despite their implementation differences, all approaches effectively manipulate matrices, catering to various preferences for readability and brevity.
Similar Reads
Python Tutorial | Learn Python Programming Language Python Tutorial â Python is one of the most popular programming languages. Itâs simple to use, packed with features and supported by a wide range of libraries and frameworks. Its clean syntax makes it beginner-friendly.Python is:A high-level language, used in web development, data science, automatio
10 min read
Python Interview Questions and Answers Python is the most used language in top companies such as Intel, IBM, NASA, Pixar, Netflix, Facebook, JP Morgan Chase, Spotify and many more because of its simplicity and powerful libraries. To crack their Online Assessment and Interview Rounds as a Python developer, we need to master important Pyth
15+ min read
Non-linear Components In electrical circuits, Non-linear Components are electronic devices that need an external power source to operate actively. Non-Linear Components are those that are changed with respect to the voltage and current. Elements that do not follow ohm's law are called Non-linear Components. Non-linear Co
11 min read
Python OOPs Concepts Object Oriented Programming is a fundamental concept in Python, empowering developers to build modular, maintainable, and scalable applications. By understanding the core OOP principles (classes, objects, inheritance, encapsulation, polymorphism, and abstraction), programmers can leverage the full p
11 min read
Python Projects - Beginner to Advanced Python is one of the most popular programming languages due to its simplicity, versatility, and supportive community. Whether youâre a beginner eager to learn the basics or an experienced programmer looking to challenge your skills, there are countless Python projects to help you grow.Hereâs a list
10 min read
Python Exercise with Practice Questions and Solutions Python Exercise for Beginner: Practice makes perfect in everything, and this is especially true when learning Python. If you're a beginner, regularly practicing Python exercises will build your confidence and sharpen your skills. To help you improve, try these Python exercises with solutions to test
9 min read
Python Programs Practice with Python program examples is always a good choice to scale up your logical understanding and programming skills and this article will provide you with the best sets of Python code examples.The below Python section contains a wide collection of Python programming examples. These Python co
11 min read
Spring Boot Tutorial Spring Boot is a Java framework that makes it easier to create and run Java applications. It simplifies the configuration and setup process, allowing developers to focus more on writing code for their applications. This Spring Boot Tutorial is a comprehensive guide that covers both basic and advance
10 min read
Class Diagram | Unified Modeling Language (UML) A UML class diagram is a visual tool that represents the structure of a system by showing its classes, attributes, methods, and the relationships between them. It helps everyone involved in a projectâlike developers and designersâunderstand how the system is organized and how its components interact
12 min read
Enumerate() in Python enumerate() function adds a counter to each item in a list or other iterable. It turns the iterable into something we can loop through, where each item comes with its number (starting from 0 by default). We can also turn it into a list of (number, item) pairs using list().Let's look at a simple exam
3 min read