Python

//3x3 matrix becomes 4x4 like this:-
[ a11  a12  a13  0 ]
[ a21  a22  a23  0 ]
[ a31  a32  a33  0 ]
[   0    0    0  1 ]

>>> matrix = [
...     [1, 2, 3, 4],
...     [5, 6, 7, 8],
...     [9, 10, 11, 12],
... ]

//3x3 matrix becomes 4x4 like this:-
[ a11  a12  a13  0 ]
[ a21  a22  a23  0 ]
[ a31  a32  a33  0 ]
[   0    0    0  1 ]

>>> matrix = [
...     [1, 2, 3, 4],
...     [5, 6, 7, 8],
...     [9, 10, 11, 12],
... ]

//3x3 matrix becomes 4x4 like this:-
[ a11  a12  a13  0 ]
[ a21  a22  a23  0 ]
[ a31  a32  a33  0 ]
[   0    0    0  1 ]

>>> matrix = [
...     [1, 2, 3, 4],
...     [5, 6, 7, 8],
...     [9, 10, 11, 12],
... ]

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