Inverse of a matrix with coefficients in $\mathbb {Z}$/p$\mathbb {Z}$ : inv inverse

inverse (or inv) takes as argument a matrix A in $\mathbb {Z}$/p$\mathbb {Z}$.
inverse (ou inv) returns the inverse of the matrix A in Z/p$\mathbb {Z}$.
Input :

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

Or :

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

Or :

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

Or :

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

Output :

[[2%13,-4%13,-5%13],[2%13,0%13,-5%13], [-2%13,-1%13,6%13]]

it is the inverse of A = [[1, 2, 9],[3, 10, 0],[3, 11, 1]] in $\mathbb {Z}$/13$\mathbb {Z}$.