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6.34.16 Inverse of a matrix with coefficients in ℤ/pℤ: inv inverse

The inv command can find the inverse of a matrix with elements in ℤ/pℤ. (See also Section ‍6.47.2.)
inverse is a synonym for inv.


Example.
Input:

inv([[1,2,9]%13,[3,10,0]%13,[3,11,1]%13])

or:

inverse([[1,2,9]%13,[3,10,0]%13,[3,11,1]%13])

or:

inv([[1,2,9],[3,10,0],[3,11,1]]%13)

or:

inverse([[1,2,9],[3,10,0],[3,11,1]]%13)

Output:

⎡
⎢
⎢
⎢
⎢
⎢
⎣
2%13
⎛
⎝
−4⎞
⎠
%13
⎛
⎝
−5⎞
⎠
%13
2%130%13
⎛
⎝
−5⎞
⎠
%13
⎛
⎝
−2⎞
⎠
%13
⎛
⎝
−1⎞
⎠
%13
6%13
⎤
⎥
⎥
⎥
⎥
⎥
⎦

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