In linear algebra, the transpose of a matrix A is another matrix A ^{ T } (also written A ′, A ^{ tr } , ^{ t } A or A ^{ t } ) created by any one of the following equivalent actions:
- reflect A over its main diagonal (which runs from top-left to bottom-right) to obtain A ^{ T }
- write the rows of A as the columns of A ^{ T }
- write the columns of A as the rows of A ^{ T }
Formally, the i ^{ th } row, j ^{ th } column element of A ^{ T } is the j ^{ th } row, i ^{ th } column element of A :
[ A ^{ T } ] _{ i j } = [ A ] _{ j i }
If A is an m × n matrix then A ^{ T } is an n × m matrix.
You have been given a matrix as a 2D list with integers. Your task is to return a transposed matrix based on input.
Input: A matrix as a list of lists with integers.
Output: The transposed matrix as a list/tuple of lists/tuples with integers.
Example:
checkio([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) == [[1, 4, 7], [2, 5, 8], [3, 6, 9]]) checkio([[1, 4, 3], [8, 2, 6], [7, 8, 3], [4, 9, 6], [7, 8, 1]]) == [[1, 8, 7, 4, 7], [4, 2, 8, 9, 8], [3, 6, 3, 6, 1]])
How it is used: The most obvious use for this idea is in mathematical software, but the concept can be applied in the area of vector graphics. On a computer, one can often avoid explicitly transposing a matrix in memory by simply accessing the same data in a different order.
Precondition:
0 < len(
matrix
) < 10
all(0 < len(row) < 10 for row in
matrix
)
CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.
In order to install CheckiO client you'll need installed Python (version at least 3.8)
Install CheckiO Client first:
pip3 install checkio_client
Configure your tool
checkio --domain=py config --key=
Sync solutions into your local folder
checkio sync
(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)
checkio serv -d
Alternatevly, you can install Chrome extension or FF addon
checkio install-plugin
checkio install-plugin --ff
checkio install-plugin --chromium
Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.