Transposed Matrix

Simple

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 )

Settings
Code:
Other:
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In order to install CheckiO client you'll need installed Python (version at least 3.8)

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`pip3 install checkio_client`

`checkio --domain=py config --key=`

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`checkio sync`

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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.

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