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### kernel of a matrix defined over polynomial rings

I have a matrix defined as a function of variables in a polynomial ring defined over finite field as follows-

              Gr.<xp,yp>=LaurentPolynomialRing(GF(2));
M=Matrix(Gr,[[xp-1,0],
[yp-1,0],
[0,(yp^(-1))-1],
[0,-(xp^(-1))+1]]);


I want to calculate the kernel of this matrix but the kernel function

M.kernel()


gives an error. What am I doing wrong?

 2 retagged FrédéricC 4385 ●3 ●37 ●93

### kernel of a matrix defined over polynomial rings

I have a matrix defined as a function of variables in a polynomial ring defined over finite field as follows-

              Gr.<xp,yp>=LaurentPolynomialRing(GF(2));
M=Matrix(Gr,[[xp-1,0],
[yp-1,0],
[0,(yp^(-1))-1],
[0,-(xp^(-1))+1]]);


I want to calculate the kernel of this matrix but the kernel function

M.kernel()


gives an error. What am I doing wrong?

 3 retagged FrédéricC 4385 ●3 ●37 ●93

### kernel of a matrix defined over polynomial rings

I have a matrix defined as a function of variables in a polynomial ring defined over finite field as follows-

              Gr.<xp,yp>=LaurentPolynomialRing(GF(2));
M=Matrix(Gr,[[xp-1,0],
[yp-1,0],
[0,(yp^(-1))-1],
[0,-(xp^(-1))+1]]);


I want to calculate the kernel of this matrix but the kernel function

M.kernel()


gives an error. What am I doing wrong?