Implementation of matrix inversion under Python

Python under the matrix upside down, you can use a double loop, or a zip implementation.

1. Loop implementation:

Nested list derivation

Matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]
matrix_t = [[Row[col] for row in matrix] for Col in range (len (matrix[0))]
matrix_t
[[1, 5, 9], [2, 6, 10], [3, 7, 11], [4, 8, 12]]

The principle is simple: loop the columns first, looping through each row on a fixed column.

2. Implemented in Zip (Python3):

   Matrix = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]
   matrix_t = List (map (list, zip (*matrix)))
   matrix_t
   [[1, 5, 9], [2, 6, 10], [3, 7, 11], [4, 8, 12]]

The principle is also clear: first iterate through each list in parallel with zip, and then use map to turn the iterated tuple into a list.

Implementation of matrix inversion under Python