In Python, we can implement a matrix as a nested list (list inside a list). We can treat each element as a row of the matrix.
For example X = [[1, 2], [4, 5], [3, 6]] would represent a 3x2 matrix. The first row can be selected as X[0]. And, the element in the first-row first column can be selected as X[0][0].
Transpose of a matrix is the interchanging of rows and columns. It is denoted as X'. The element at ith row and jth column in X will be placed at jth row and ith column in X'. So if X is a 3x2 matrix, X' will be a 2x3 matrix.
Here are a couple of ways to accomplish this in Python.
Matrix Transpose using Nested Loop
Output
[12, 4, 3] [7, 5, 8]
In this program, we have used nested for loops to iterate through each row and each column. At each point we place the X[i][j] element into result[j][i].
Matrix Transpose using Nested List Comprehension
The output of this program is the same as above. We have used nested list comprehension to iterate through each element in the matrix.