Transpose Matrix is one of the popular problems in **coding interviews**. This problem requires you to manipulate a matrix by flipping its rows and columns. So, if you want to know how to transpose a matrix, this article is for you. In this article, I will take you through how to solve the transpose matrix problem using **Python**.

## Transpose Matrix Problem

In the Transpose Matrix problem, we need to manipulate a matrix by reversing its rows and columns. This problem is commonly used in computer science and mathematics and has many applications in areas such as image processing, linear algebra, and graph theory.

Here’s an example of the input and output values of this problem:

- Input: [[1,2,3],[4,5,6],[7,8,9]] | Output: [[1,4,7],[2,5,8],[3,6,9]]

The dimensions of a matrix are n x m, where n is the number of rows and m is the number of columns. After transposing a matrix, the dimensions are reversed into an m x n matrix.

## Transpose Matrix using Python

I hope you have understood what the Transpose Matrix problem means. Now here’s how to solve this problem using Python:

def transpose(matrix): n = len(matrix) m = len(matrix[0]) transposed = [[0 for j in range(n)] for i in range(m)] for i in range(n): for j in range(m): transposed[j][i] = matrix[i][j] return transposed matrix = [[1,2,3],[4,5,6],[7,8,9]] print(transpose(matrix))

Output: [[1, 4, 7], [2, 5, 8], [3, 6, 9]]

The transpose(matrix) function above takes a matrix as input, swaps its rows and columns to create a new matrix “transposed”, and returns the transposed matrix. It does this by using loops and list comprehensions to loop through each element of the input matrix and assign it to the correct position in the transpose matrix.

### Summary

In the Transpose Matrix problem, we need to manipulate a matrix by reversing its rows and columns. The dimensions of a matrix are n x m, where n is the number of rows and m is the number of columns. After transposing a matrix, the dimensions are reversed into an m x n matrix. I hope you like this article on transposing a matrix using Python. Feel free to ask valuable questions in the comments section below.