How to Efficiently Transpose Matrices in Python?

Transposing Matrices in Python

Transposing a matrix involves interchanging its rows and columns, effectively flipping it around its diagonal. In Python, this task can be efficiently accomplished using various approaches.

One common method utilizes the zip function, which can combine multiple iterables into a single iterable of tuples. By pairing the elements in each tuple, we can easily reorganize the matrix:

<code class="python">A = [[1, 2, 3], [4, 5, 6]]
zipped_matrix = zip(*A)
print(list(zipped_matrix))
# Output: [(1, 4), (2, 5), (3, 6)]</code>

To obtain a transposed matrix as a list of lists, we can further process the zipped iterable:

<code class="python">transposed_matrix = list(zip(*A))
print(transposed_matrix)
# Output: [[1, 4], [2, 5], [3, 6]]</code>

Alternatively, we can use the map function to convert each tuple in the zipped iterable into a list:

<code class="python">from functools import partial

map_transposed_matrix = partial(map, list)
zipped_matrix = zip(*A)
transposed_matrix = map_transposed_matrix(zipped_matrix)
print(list(transposed_matrix))
# Output: [[1, 4], [2, 5], [3, 6]]</code>

These techniques allow for efficient transposing of matrices in Python, enabling flexible data manipulation and analysis.

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